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

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


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

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

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

Multiply (-7 + x) * (7 + 5x)
(-7(7 + 5x) + x(7 + 5x)) = 0
((7 * -7 + 5x * -7) + x(7 + 5x)) = 0
((-49 + -35x) + x(7 + 5x)) = 0
(-49 + -35x + (7 * x + 5x * x)) = 0
(-49 + -35x + (7x + 5x2)) = 0

Combine like terms: -35x + 7x = -28x
(-49 + -28x + 5x2) = 0

Solving
-49 + -28x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 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 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-1.4, 7}

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