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Simplifying 0 = -7x2 + 11x Reorder the terms: 0 = 11x + -7x2 Solving 0 = 11x + -7x2 Solving for variable 'x'. Remove the zero: -11x + 7x2 = 11x + -7x2 + -11x + 7x2 Reorder the terms: -11x + 7x2 = 11x + -11x + -7x2 + 7x2 Combine like terms: 11x + -11x = 0 -11x + 7x2 = 0 + -7x2 + 7x2 -11x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -11x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 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 '(-11 + 7x)' equal to zero and attempt to solve: Simplifying -11 + 7x = 0 Solving -11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 0 + 11 7x = 0 + 11 Combine like terms: 0 + 11 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571Solution
x = {0, 1.571428571}
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