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

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


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

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

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

Multiply (-9 + 7x) * (7 + 5x)
(-9(7 + 5x) + 7x * (7 + 5x)) = 0
((7 * -9 + 5x * -9) + 7x * (7 + 5x)) = 0
((-63 + -45x) + 7x * (7 + 5x)) = 0
(-63 + -45x + (7 * 7x + 5x * 7x)) = 0
(-63 + -45x + (49x + 35x2)) = 0

Combine like terms: -45x + 49x = 4x
(-63 + 4x + 35x2) = 0

Solving
-63 + 4x + 35x2 = 0

Solving for variable 'x'.

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

Solution

x = {-1.4, 1.285714286}

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