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Simplifying 4x(x + 1) = 63 Reorder the terms: 4x(1 + x) = 63 (1 * 4x + x * 4x) = 63 (4x + 4x2) = 63 Solving 4x + 4x2 = 63 Solving for variable 'x'. Reorder the terms: -63 + 4x + 4x2 = 63 + -63 Combine like terms: 63 + -63 = 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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