5x+4=x^2-8x+16

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Solution for 5x+4=x^2-8x+16 equation:


Simplifying
5x + 4 = x2 + -8x + 16

Reorder the terms:
4 + 5x = x2 + -8x + 16

Reorder the terms:
4 + 5x = 16 + -8x + x2

Solving
4 + 5x = 16 + -8x + x2

Solving for variable 'x'.

Reorder the terms:
4 + -16 + 5x + 8x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2

Combine like terms: 4 + -16 = -12
-12 + 5x + 8x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2

Combine like terms: 5x + 8x = 13x
-12 + 13x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2

Reorder the terms:
-12 + 13x + -1x2 = 16 + -16 + -8x + 8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-12 + 13x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-12 + 13x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-12 + 13x + -1x2 = 0 + x2 + -1x2
-12 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 13x + -1x2 = 0

Factor a trinomial.
(-12 + x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12

Subproblem 2

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

Solution

x = {12, 1}

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