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Simplifying 0 = 5x + 2x2 + -63 Reorder the terms: 0 = -63 + 5x + 2x2 Solving 0 = -63 + 5x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 63 = 63 63 + -5x + -2x2 = -63 + 5x + 2x2 + 63 + -5x + -2x2 Reorder the terms: 63 + -5x + -2x2 = -63 + 63 + 5x + -5x + 2x2 + -2x2 Combine like terms: -63 + 63 = 0 63 + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2 63 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 63 + -5x + -2x2 = 0 + 2x2 + -2x2 63 + -5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 63 + -5x + -2x2 = 0 Factor a trinomial. (9 + -2x)(7 + x) = 0Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {4.5, -7}
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