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

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


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

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

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

Multiply (-9 + 5x) * (-7 + 5x)
(-9(-7 + 5x) + 5x * (-7 + 5x)) = 0
((-7 * -9 + 5x * -9) + 5x * (-7 + 5x)) = 0
((63 + -45x) + 5x * (-7 + 5x)) = 0
(63 + -45x + (-7 * 5x + 5x * 5x)) = 0
(63 + -45x + (-35x + 25x2)) = 0

Combine like terms: -45x + -35x = -80x
(63 + -80x + 25x2) = 0

Solving
63 + -80x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -5x)(9 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8

Solution

x = {1.4, 1.8}

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