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Simplifying 4x2 + -8 + 14x = 360 Reorder the terms: -8 + 14x + 4x2 = 360 Solving -8 + 14x + 4x2 = 360 Solving for variable 'x'. Reorder the terms: -8 + -360 + 14x + 4x2 = 360 + -360 Combine like terms: -8 + -360 = -368 -368 + 14x + 4x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -368 + 14x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-184 + 7x + 2x2) = 0 Factor a trinomial. 2((-23 + -2x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve: Simplifying -23 + -2x = 0 Solving -23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -2x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 0 + 23 -2x = 0 + 23 Combine like terms: 0 + 23 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-11.5, 8}
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