64=x^2+12x+36

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Solution for 64=x^2+12x+36 equation:


Simplifying
64 = x2 + 12x + 36

Reorder the terms:
64 = 36 + 12x + x2

Solving
64 = 36 + 12x + x2

Solving for variable 'x'.

Combine like terms: 64 + -36 = 28
28 + -12x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2

Reorder the terms:
28 + -12x + -1x2 = 36 + -36 + 12x + -12x + x2 + -1x2

Combine like terms: 36 + -36 = 0
28 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2
28 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
28 + -12x + -1x2 = 0 + x2 + -1x2
28 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + -12x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(14 + x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14

Solution

x = {2, -14}

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