(5x+8)(7x-2)=

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Solution for (5x+8)(7x-2)= equation:


Simplifying
(5x + 8)(7x + -2) = 0

Reorder the terms:
(8 + 5x)(7x + -2) = 0

Reorder the terms:
(8 + 5x)(-2 + 7x) = 0

Multiply (8 + 5x) * (-2 + 7x)
(8(-2 + 7x) + 5x * (-2 + 7x)) = 0
((-2 * 8 + 7x * 8) + 5x * (-2 + 7x)) = 0
((-16 + 56x) + 5x * (-2 + 7x)) = 0
(-16 + 56x + (-2 * 5x + 7x * 5x)) = 0
(-16 + 56x + (-10x + 35x2)) = 0

Combine like terms: 56x + -10x = 46x
(-16 + 46x + 35x2) = 0

Solving
-16 + 46x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(2 + -7x) = 0

Subproblem 1

Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6

Subproblem 2

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {-1.6, 0.2857142857}

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