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Simplifying 0 = 4x(7x + -11) Reorder the terms: 0 = 4x(-11 + 7x) 0 = (-11 * 4x + 7x * 4x) 0 = (-44x + 28x2) Solving 0 = -44x + 28x2 Solving for variable 'x'. Remove the zero: 44x + -28x2 = -44x + 28x2 + 44x + -28x2 Reorder the terms: 44x + -28x2 = -44x + 44x + 28x2 + -28x2 Combine like terms: -44x + 44x = 0 44x + -28x2 = 0 + 28x2 + -28x2 44x + -28x2 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 44x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(11 + -7x) = 0 Ignore the factor 4.Subproblem 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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