x(x-36)=5605

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Solution for x(x-36)=5605 equation:


Simplifying
x(x + -36) = 5605

Reorder the terms:
x(-36 + x) = 5605
(-36 * x + x * x) = 5605
(-36x + x2) = 5605

Solving
-36x + x2 = 5605

Solving for variable 'x'.

Reorder the terms:
-5605 + -36x + x2 = 5605 + -5605

Combine like terms: 5605 + -5605 = 0
-5605 + -36x + x2 = 0

Factor a trinomial.
(-59 + -1x)(95 + -1x) = 0

Subproblem 1

Set the factor '(-59 + -1x)' equal to zero and attempt to solve: Simplifying -59 + -1x = 0 Solving -59 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -1x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + -1x = 0 + 59 -1x = 0 + 59 Combine like terms: 0 + 59 = 59 -1x = 59 Divide each side by '-1'. x = -59 Simplifying x = -59

Subproblem 2

Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95

Solution

x = {-59, 95}

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