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Simplifying 4x[33 + -3x(5 + 2)] = 0 Combine like terms: 5 + 2 = 7 4x[33 + -3x(7)] = 0 Reorder the terms for easier multiplication: 4x[33 + -3 * 7x] = 0 Multiply -3 * 7 4x[33 + -21x] = 0 [33 * 4x + -21x * 4x] = 0 [132x + -84x2] = 0 Solving 132x + -84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(11 + -7x) = 0 Ignore the factor 12.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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