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Simplifying 4x2 + 12x + -80 = 11 Reorder the terms: -80 + 12x + 4x2 = 11 Solving -80 + 12x + 4x2 = 11 Solving for variable 'x'. Reorder the terms: -80 + -11 + 12x + 4x2 = 11 + -11 Combine like terms: -80 + -11 = -91 -91 + 12x + 4x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -91 + 12x + 4x2 = 0 Factor a trinomial. (-13 + -2x)(7 + -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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-6.5, 3.5}
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