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Simplifying 121 = 4x2 + 12x + 9 Reorder the terms: 121 = 9 + 12x + 4x2 Solving 121 = 9 + 12x + 4x2 Solving for variable 'x'. Combine like terms: 121 + -9 = 112 112 + -12x + -4x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Reorder the terms: 112 + -12x + -4x2 = 9 + -9 + 12x + -12x + 4x2 + -4x2 Combine like terms: 9 + -9 = 0 112 + -12x + -4x2 = 0 + 12x + -12x + 4x2 + -4x2 112 + -12x + -4x2 = 12x + -12x + 4x2 + -4x2 Combine like terms: 12x + -12x = 0 112 + -12x + -4x2 = 0 + 4x2 + -4x2 112 + -12x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 112 + -12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(28 + -3x + -1x2) = 0 Factor a trinomial. 4((4 + -1x)(7 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {4, -7}
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