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Simplifying 8x + 64 = 4x2 + 4x + 1 Reorder the terms: 64 + 8x = 4x2 + 4x + 1 Reorder the terms: 64 + 8x = 1 + 4x + 4x2 Solving 64 + 8x = 1 + 4x + 4x2 Solving for variable 'x'. Reorder the terms: 64 + -1 + 8x + -4x + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2 Combine like terms: 64 + -1 = 63 63 + 8x + -4x + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2 Combine like terms: 8x + -4x = 4x 63 + 4x + -4x2 = 1 + 4x + 4x2 + -1 + -4x + -4x2 Reorder the terms: 63 + 4x + -4x2 = 1 + -1 + 4x + -4x + 4x2 + -4x2 Combine like terms: 1 + -1 = 0 63 + 4x + -4x2 = 0 + 4x + -4x + 4x2 + -4x2 63 + 4x + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 63 + 4x + -4x2 = 0 + 4x2 + -4x2 63 + 4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 63 + 4x + -4x2 = 0 Factor a trinomial. (9 + -2x)(7 + 2x) = 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 + 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 = {4.5, -3.5}
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