How to solve A(x-1)-(A+2)(x-1)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$A(x-1)-(A+2)(x-1)$$

Evaluate

$2-2x$

Solution Steps

Use the distributive property to multiply $A$ by $x-1$.

$$Ax-A-\left(A+2\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of $A+2$ by each term of $x-1$.

$$Ax-A-\left(Ax-A+2x-2\right)$$

To find the opposite of $Ax-A+2x-2$, find the opposite of each term.

$$Ax-A-Ax-\left(-A\right)-2x-\left(-2\right)$$

The opposite of $-A$ is $A$.

$$Ax-A-Ax+A-2x-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$Ax-A-Ax+A-2x+2$$

Combine $Ax$ and $-Ax$ to get $0$.

$$-A+A-2x+2$$

Combine $-A$ and $A$ to get $0$.

$$-2x+2$$

Show Solution

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$2-2x$

Solution Steps

Use the distributive property to multiply $A$ by $x-1$.

$$Ax-A-\left(A+2\right)\left(x-1\right)$$

Apply the distributive property by multiplying each term of $A+2$ by each term of $x-1$.

$$Ax-A-\left(Ax-A+2x-2\right)$$

To find the opposite of $Ax-A+2x-2$, find the opposite of each term.

$$Ax-A-Ax-\left(-A\right)-2x-\left(-2\right)$$

The opposite of $-A$ is $A$.

$$Ax-A-Ax+A-2x-\left(-2\right)$$

The opposite of $-2$ is $2$.

$$Ax-A-Ax+A-2x+2$$

Combine $Ax$ and $-Ax$ to get $0$.

$$-A+A-2x+2$$

Combine $-A$ and $A$ to get $0$.

$$-2x+2$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

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Solution Steps