676=100+20x+x^2

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Solution for 676=100+20x+x^2 equation:


Simplifying
676 = 100 + 20x + x2

Solving
676 = 100 + 20x + x2

Solving for variable 'x'.

Combine like terms: 676 + -100 = 576
576 + -20x + -1x2 = 100 + 20x + x2 + -100 + -20x + -1x2

Reorder the terms:
576 + -20x + -1x2 = 100 + -100 + 20x + -20x + x2 + -1x2

Combine like terms: 100 + -100 = 0
576 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2
576 + -20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
576 + -20x + -1x2 = 0 + x2 + -1x2
576 + -20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
576 + -20x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(36 + x) = 0

Subproblem 1

Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Subproblem 2

Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 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 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36

Solution

x = {16, -36}

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