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Simplifying x(7x + -11) = 0 Reorder the terms: x(-11 + 7x) = 0 (-11 * x + 7x * x) = 0 (-11x + 7x2) = 0 Solving -11x + 7x2 = 0 Solving for variable 'x'. 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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