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Simplifying 36x2 + 78x + 42 = 0 Reorder the terms: 42 + 78x + 36x2 = 0 Solving 42 + 78x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(7 + 13x + 6x2) = 0 Factor a trinomial. 6((7 + 6x)(1 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.166666667, -1}
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