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Simplifying 10x2 + 78x + 144 = 0 Reorder the terms: 144 + 78x + 10x2 = 0 Solving 144 + 78x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(72 + 39x + 5x2) = 0 Factor a trinomial. 2((24 + 5x)(3 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + 5x)' equal to zero and attempt to solve: Simplifying 24 + 5x = 0 Solving 24 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 0 + -24 5x = 0 + -24 Combine like terms: 0 + -24 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4.8, -3}
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