x^2-4x+12=3+2x

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Solution for x^2-4x+12=3+2x equation:


Simplifying
x2 + -4x + 12 = 3 + 2x

Reorder the terms:
12 + -4x + x2 = 3 + 2x

Solving
12 + -4x + x2 = 3 + 2x

Solving for variable 'x'.

Reorder the terms:
12 + -3 + -4x + -2x + x2 = 3 + 2x + -3 + -2x

Combine like terms: 12 + -3 = 9
9 + -4x + -2x + x2 = 3 + 2x + -3 + -2x

Combine like terms: -4x + -2x = -6x
9 + -6x + x2 = 3 + 2x + -3 + -2x

Reorder the terms:
9 + -6x + x2 = 3 + -3 + 2x + -2x

Combine like terms: 3 + -3 = 0
9 + -6x + x2 = 0 + 2x + -2x
9 + -6x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -6x + x2 = 0

Factor a trinomial.
(3 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {3, 3}

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