Solve (6x ^ 2 + 11x - 35) / (- 2x - 7) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(6x^{2}+11x-35)\div(-2x-7)$$

Evaluate

$5-3x$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(3x-5\right)\left(2x+7\right)}{-2x-7}$$

Extract the negative sign in $7+2x$.

$$\frac{-\left(-2x-7\right)\left(3x-5\right)}{-2x-7}$$

Cancel out $-2x-7$ in both numerator and denominator.

$$-\left(3x-5\right)$$

Expand the expression.

$$-3x+5$$

Expand

$5-3x$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(3x-5\right)\left(2x+7\right)}{-2x-7}$$

Extract the negative sign in $7+2x$.

$$\frac{-\left(-2x-7\right)\left(3x-5\right)}{-2x-7}$$

Cancel out $-2x-7$ in both numerator and denominator.

$$-\left(3x-5\right)$$

Expand the expression.

$$-3x+5$$