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

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


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

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

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

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

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

Solving
-4 + 4x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(2 + -7x) = 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 '(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 = {-0.4, 0.2857142857}

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