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Simplifying 0 = 7x2 + -17x Reorder the terms: 0 = -17x + 7x2 Solving 0 = -17x + 7x2 Solving for variable 'x'. Remove the zero: 17x + -7x2 = -17x + 7x2 + 17x + -7x2 Reorder the terms: 17x + -7x2 = -17x + 17x + 7x2 + -7x2 Combine like terms: -17x + 17x = 0 17x + -7x2 = 0 + 7x2 + -7x2 17x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 17x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + -7x) = 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 + -7x)' equal to zero and attempt to solve: Simplifying 17 + -7x = 0 Solving 17 + -7x = 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 + -7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 0 + -17 -7x = 0 + -17 Combine like terms: 0 + -17 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429Solution
x = {0, 2.428571429}
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