Solve (5x-3)(3-4x)+25x-9 | 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

$$(5x-3)(3-4x)+25x-9$$

Evaluate

$-20x^{2}+52x-18$

Solution Steps

Apply the distributive property by multiplying each term of $5x-3$ by each term of $3-4x$.

$$15x-20x^{2}-9+12x+25x-9$$

Combine $15x$ and $12x$ to get $27x$.

$$27x-20x^{2}-9+25x-9$$

Combine $27x$ and $25x$ to get $52x$.

$$52x-20x^{2}-9-9$$

Subtract $9$ from $-9$ to get $-18$.

$$52x-20x^{2}-18$$

Expand

$-20x^{2}+52x-18$

Solution Steps

Apply the distributive property by multiplying each term of $5x-3$ by each term of $3-4x$.

$$15x-20x^{2}-9+12x+25x-9$$

Combine $15x$ and $12x$ to get $27x$.

$$27x-20x^{2}-9+25x-9$$

Combine $27x$ and $25x$ to get $52x$.

$$52x-20x^{2}-9-9$$

Subtract $9$ from $-9$ to get $-18$.

$$52x-20x^{2}-18$$