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Simplifying x2 + x2 + 6x + 9 = 65 Reorder the terms: 9 + 6x + x2 + x2 = 65 Combine like terms: x2 + x2 = 2x2 9 + 6x + 2x2 = 65 Solving 9 + 6x + 2x2 = 65 Solving for variable 'x'. Reorder the terms: 9 + -65 + 6x + 2x2 = 65 + -65 Combine like terms: 9 + -65 = -56 -56 + 6x + 2x2 = 65 + -65 Combine like terms: 65 + -65 = 0 -56 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + 3x + x2) = 0 Factor a trinomial. 2((-7 + -1x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
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 = 4Solution
x = {-7, 4}
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