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Simplifying 45x2 + -69x + 6 = -12 Reorder the terms: 6 + -69x + 45x2 = -12 Solving 6 + -69x + 45x2 = -12 Solving for variable 'x'. Reorder the terms: 6 + 12 + -69x + 45x2 = -12 + 12 Combine like terms: 6 + 12 = 18 18 + -69x + 45x2 = -12 + 12 Combine like terms: -12 + 12 = 0 18 + -69x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -23x + 15x2) = 0 Factor a trinomial. 3((1 + -3x)(6 + -5x)) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0.3333333333, 1.2}
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