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Simplifying 14x2 + 16x = 24 Reorder the terms: 16x + 14x2 = 24 Solving 16x + 14x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + 16x + 14x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 16x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 8x + 7x2) = 0 Factor a trinomial. 2((-2 + -1x)(6 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 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 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-2, 0.8571428571}
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