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Simplifying 6x2 + x + -96 = 80 Reorder the terms: -96 + x + 6x2 = 80 Solving -96 + x + 6x2 = 80 Solving for variable 'x'. Reorder the terms: -96 + -80 + x + 6x2 = 80 + -80 Combine like terms: -96 + -80 = -176 -176 + x + 6x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -176 + x + 6x2 = 0 Factor a trinomial. (-11 + -2x)(16 + -3x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(16 + -3x)' equal to zero and attempt to solve: Simplifying 16 + -3x = 0 Solving 16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {-5.5, 5.333333333}
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