(-7x+3)(-5x-2)=0

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Solution for (-7x+3)(-5x-2)=0 equation:


Simplifying
(-7x + 3)(-5x + -2) = 0

Reorder the terms:
(3 + -7x)(-5x + -2) = 0

Reorder the terms:
(3 + -7x)(-2 + -5x) = 0

Multiply (3 + -7x) * (-2 + -5x)
(3(-2 + -5x) + -7x * (-2 + -5x)) = 0
((-2 * 3 + -5x * 3) + -7x * (-2 + -5x)) = 0
((-6 + -15x) + -7x * (-2 + -5x)) = 0
(-6 + -15x + (-2 * -7x + -5x * -7x)) = 0
(-6 + -15x + (14x + 35x2)) = 0

Combine like terms: -15x + 14x = -1x
(-6 + -1x + 35x2) = 0

Solving
-6 + -1x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(3 + -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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286

Solution

x = {-0.4, 0.4285714286}

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