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Simplifying 14x2 + -18x + -2996 = 0 Reorder the terms: -2996 + -18x + 14x2 = 0 Solving -2996 + -18x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1498 + -9x + 7x2) = 0 Factor a trinomial. 2((-14 + -1x)(107 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(107 + -7x)' equal to zero and attempt to solve: Simplifying 107 + -7x = 0 Solving 107 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + -7x = 0 + -107 Combine like terms: 107 + -107 = 0 0 + -7x = 0 + -107 -7x = 0 + -107 Combine like terms: 0 + -107 = -107 -7x = -107 Divide each side by '-7'. x = 15.28571429 Simplifying x = 15.28571429Solution
x = {-14, 15.28571429}
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