(x-6)*(x-2)=2700

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Solution for (x-6)*(x-2)=2700 equation:


Simplifying
(x + -6)(x + -2) = 2700

Reorder the terms:
(-6 + x)(x + -2) = 2700

Reorder the terms:
(-6 + x)(-2 + x) = 2700

Multiply (-6 + x) * (-2 + x)
(-6(-2 + x) + x(-2 + x)) = 2700
((-2 * -6 + x * -6) + x(-2 + x)) = 2700
((12 + -6x) + x(-2 + x)) = 2700
(12 + -6x + (-2 * x + x * x)) = 2700
(12 + -6x + (-2x + x2)) = 2700

Combine like terms: -6x + -2x = -8x
(12 + -8x + x2) = 2700

Solving
12 + -8x + x2 = 2700

Solving for variable 'x'.

Reorder the terms:
12 + -2700 + -8x + x2 = 2700 + -2700

Combine like terms: 12 + -2700 = -2688
-2688 + -8x + x2 = 2700 + -2700

Combine like terms: 2700 + -2700 = 0
-2688 + -8x + x2 = 0

Factor a trinomial.
(-48 + -1x)(56 + -1x) = 0

Subproblem 1

Set the factor '(-48 + -1x)' equal to zero and attempt to solve: Simplifying -48 + -1x = 0 Solving -48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = 0 + 48 -1x = 0 + 48 Combine like terms: 0 + 48 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48

Subproblem 2

Set the factor '(56 + -1x)' equal to zero and attempt to solve: Simplifying 56 + -1x = 0 Solving 56 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -1x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 0 + -56 -1x = 0 + -56 Combine like terms: 0 + -56 = -56 -1x = -56 Divide each side by '-1'. x = 56 Simplifying x = 56

Solution

x = {-48, 56}

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