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Simplifying 0 = 4x * 4x + 18x Reorder the terms for easier multiplication: 0 = 4 * 4x * x + 18x Multiply 4 * 4 0 = 16x * x + 18x Multiply x * x 0 = 16x2 + 18x Reorder the terms: 0 = 18x + 16x2 Solving 0 = 18x + 16x2 Solving for variable 'x'. Remove the zero: -18x + -16x2 = 18x + 16x2 + -18x + -16x2 Reorder the terms: -18x + -16x2 = 18x + -18x + 16x2 + -16x2 Combine like terms: 18x + -18x = 0 -18x + -16x2 = 0 + 16x2 + -16x2 -18x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -18x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(9 + 8x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {0, -1.125}
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