(9x-5)(7x+9)=0

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Solution for (9x-5)(7x+9)=0 equation:


Simplifying
(9x + -5)(7x + 9) = 0

Reorder the terms:
(-5 + 9x)(7x + 9) = 0

Reorder the terms:
(-5 + 9x)(9 + 7x) = 0

Multiply (-5 + 9x) * (9 + 7x)
(-5(9 + 7x) + 9x * (9 + 7x)) = 0
((9 * -5 + 7x * -5) + 9x * (9 + 7x)) = 0
((-45 + -35x) + 9x * (9 + 7x)) = 0
(-45 + -35x + (9 * 9x + 7x * 9x)) = 0
(-45 + -35x + (81x + 63x2)) = 0

Combine like terms: -35x + 81x = 46x
(-45 + 46x + 63x2) = 0

Solving
-45 + 46x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -7x)(5 + -9x) = 0

Subproblem 1

Set the factor '(-9 + -7x)' equal to zero and attempt to solve: Simplifying -9 + -7x = 0 Solving -9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 0 + 9 -7x = 0 + 9 Combine like terms: 0 + 9 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286

Subproblem 2

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

Solution

x = {-1.285714286, 0.5555555556}

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