(5x-4)(2x+7)=

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Solution for (5x-4)(2x+7)= equation:


Simplifying
(5x + -4)(2x + 7) = 0

Reorder the terms:
(-4 + 5x)(2x + 7) = 0

Reorder the terms:
(-4 + 5x)(7 + 2x) = 0

Multiply (-4 + 5x) * (7 + 2x)
(-4(7 + 2x) + 5x * (7 + 2x)) = 0
((7 * -4 + 2x * -4) + 5x * (7 + 2x)) = 0
((-28 + -8x) + 5x * (7 + 2x)) = 0
(-28 + -8x + (7 * 5x + 2x * 5x)) = 0
(-28 + -8x + (35x + 10x2)) = 0

Combine like terms: -8x + 35x = 27x
(-28 + 27x + 10x2) = 0

Solving
-28 + 27x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(4 + -5x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {-3.5, 0.8}

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