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Simplifying 14x + 4x2 = 78 Solving 14x + 4x2 = 78 Solving for variable 'x'. Reorder the terms: -78 + 14x + 4x2 = 78 + -78 Combine like terms: 78 + -78 = 0 -78 + 14x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-39 + 7x + 2x2) = 0 Factor a trinomial. 2((-13 + -2x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5Subproblem 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 = {-6.5, 3}
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