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Simplifying 4x2 + 16x + -59 = 6 Reorder the terms: -59 + 16x + 4x2 = 6 Solving -59 + 16x + 4x2 = 6 Solving for variable 'x'. Reorder the terms: -59 + -6 + 16x + 4x2 = 6 + -6 Combine like terms: -59 + -6 = -65 -65 + 16x + 4x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -65 + 16x + 4x2 = 0 Factor a trinomial. (-13 + -2x)(5 + -2x) = 0Subproblem 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-6.5, 2.5}
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