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Simplifying 4x2 + 16x = 34x Reorder the terms: 16x + 4x2 = 34x Solving 16x + 4x2 = 34x Solving for variable 'x'. Reorder the terms: 16x + -34x + 4x2 = 34x + -34x Combine like terms: 16x + -34x = -18x -18x + 4x2 = 34x + -34x Combine like terms: 34x + -34x = 0 -18x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + 2x) = 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 + 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 = 4.5Solution
x = {0, 4.5}
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