(5x-45)(2x-18)=

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Solution for (5x-45)(2x-18)= equation:


Simplifying
(5x + -45)(2x + -18) = 0

Reorder the terms:
(-45 + 5x)(2x + -18) = 0

Reorder the terms:
(-45 + 5x)(-18 + 2x) = 0

Multiply (-45 + 5x) * (-18 + 2x)
(-45(-18 + 2x) + 5x * (-18 + 2x)) = 0
((-18 * -45 + 2x * -45) + 5x * (-18 + 2x)) = 0
((810 + -90x) + 5x * (-18 + 2x)) = 0
(810 + -90x + (-18 * 5x + 2x * 5x)) = 0
(810 + -90x + (-90x + 10x2)) = 0

Combine like terms: -90x + -90x = -180x
(810 + -180x + 10x2) = 0

Solving
810 + -180x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(81 + -18x + x2) = 0

Factor a trinomial.
10((9 + -1x)(9 + -1x)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {9, 9}

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