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Simplifying 84 = 2x2 + 17x Reorder the terms: 84 = 17x + 2x2 Solving 84 = 17x + 2x2 Solving for variable 'x'. Reorder the terms: 84 + -17x + -2x2 = 17x + -17x + 2x2 + -2x2 Combine like terms: 17x + -17x = 0 84 + -17x + -2x2 = 0 + 2x2 + -2x2 84 + -17x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 84 + -17x + -2x2 = 0 Factor a trinomial. (7 + -2x)(12 + x) = 0Subproblem 1
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 = 3.5Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {3.5, -12}
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