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Simplifying 4x2 + -17x + 15 = 15 Reorder the terms: 15 + -17x + 4x2 = 15 Add '-15' to each side of the equation. 15 + -17x + -15 + 4x2 = 15 + -15 Reorder the terms: 15 + -15 + -17x + 4x2 = 15 + -15 Combine like terms: 15 + -15 = 0 0 + -17x + 4x2 = 15 + -15 -17x + 4x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -17x + 4x2 = 0 Solving -17x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 4x) = 0Subproblem 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 '(-17 + 4x)' equal to zero and attempt to solve: Simplifying -17 + 4x = 0 Solving -17 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 0 + 17 4x = 0 + 17 Combine like terms: 0 + 17 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25Solution
x = {0, 4.25}
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