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Simplifying 9x2 + -54x + 74 = -7 Reorder the terms: 74 + -54x + 9x2 = -7 Solving 74 + -54x + 9x2 = -7 Solving for variable 'x'. Reorder the terms: 74 + 7 + -54x + 9x2 = -7 + 7 Combine like terms: 74 + 7 = 81 81 + -54x + 9x2 = -7 + 7 Combine like terms: -7 + 7 = 0 81 + -54x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(9 + -6x + x2) = 0 Factor a trinomial. 9((3 + -1x)(3 + -1x)) = 0 Ignore the factor 9.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 '(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 = 3Solution
x = {3, 3}
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