(5x-6)(x-6)=36

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Solution for (5x-6)(x-6)=36 equation:


Simplifying
(5x + -6)(x + -6) = 36

Reorder the terms:
(-6 + 5x)(x + -6) = 36

Reorder the terms:
(-6 + 5x)(-6 + x) = 36

Multiply (-6 + 5x) * (-6 + x)
(-6(-6 + x) + 5x * (-6 + x)) = 36
((-6 * -6 + x * -6) + 5x * (-6 + x)) = 36
((36 + -6x) + 5x * (-6 + x)) = 36
(36 + -6x + (-6 * 5x + x * 5x)) = 36
(36 + -6x + (-30x + 5x2)) = 36

Combine like terms: -6x + -30x = -36x
(36 + -36x + 5x2) = 36

Add '-36' to each side of the equation.
36 + -36x + -36 + 5x2 = 36 + -36

Reorder the terms:
36 + -36 + -36x + 5x2 = 36 + -36

Combine like terms: 36 + -36 = 0
0 + -36x + 5x2 = 36 + -36
-36x + 5x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36x + 5x2 = 0

Solving
-36x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + 5x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-36 + 5x)' equal to zero and attempt to solve: Simplifying -36 + 5x = 0 Solving -36 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 5x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = 0 + 36 5x = 0 + 36 Combine like terms: 0 + 36 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2

Solution

x = {0, 7.2}

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