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Simplifying 9x2 + 21 = 66x Reorder the terms: 21 + 9x2 = 66x Solving 21 + 9x2 = 66x Solving for variable 'x'. Reorder the terms: 21 + -66x + 9x2 = 66x + -66x Combine like terms: 66x + -66x = 0 21 + -66x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + -22x + 3x2) = 0 Factor a trinomial. 3((1 + -3x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
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 = 7Solution
x = {0.3333333333, 7}
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