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Simplifying 9x2 + 6x + 1 = 64 Reorder the terms: 1 + 6x + 9x2 = 64 Solving 1 + 6x + 9x2 = 64 Solving for variable 'x'. Reorder the terms: 1 + -64 + 6x + 9x2 = 64 + -64 Combine like terms: 1 + -64 = -63 -63 + 6x + 9x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -63 + 6x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + 2x + 3x2) = 0 Factor a trinomial. 3((-3 + -1x)(7 + -3x)) = 0 Ignore the factor 3.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 = -3Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-3, 2.333333333}
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