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

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


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

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

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

Multiply (-2 + -5x) * (7 + -2x)
(-2(7 + -2x) + -5x * (7 + -2x)) = 0
((7 * -2 + -2x * -2) + -5x * (7 + -2x)) = 0
((-14 + 4x) + -5x * (7 + -2x)) = 0
(-14 + 4x + (7 * -5x + -2x * -5x)) = 0
(-14 + 4x + (-35x + 10x2)) = 0

Combine like terms: 4x + -35x = -31x
(-14 + -31x + 10x2) = 0

Solving
-14 + -31x + 10x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4

Subproblem 2

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

Solution

x = {-0.4, 3.5}

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