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Simplifying 0 = -17x2 + 19x Reorder the terms: 0 = 19x + -17x2 Solving 0 = 19x + -17x2 Solving for variable 'x'. Remove the zero: -19x + 17x2 = 19x + -17x2 + -19x + 17x2 Reorder the terms: -19x + 17x2 = 19x + -19x + -17x2 + 17x2 Combine like terms: 19x + -19x = 0 -19x + 17x2 = 0 + -17x2 + 17x2 -19x + 17x2 = -17x2 + 17x2 Combine like terms: -17x2 + 17x2 = 0 -19x + 17x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 17x) = 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 '(-19 + 17x)' equal to zero and attempt to solve: Simplifying -19 + 17x = 0 Solving -19 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 17x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 17x = 0 + 19 17x = 0 + 19 Combine like terms: 0 + 19 = 19 17x = 19 Divide each side by '17'. x = 1.117647059 Simplifying x = 1.117647059Solution
x = {0, 1.117647059}
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