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Simplifying 0 = -4x(7x + 21) Reorder the terms: 0 = -4x(21 + 7x) 0 = (21 * -4x + 7x * -4x) 0 = (-84x + -28x2) Solving 0 = -84x + -28x2 Solving for variable 'x'. Remove the zero: 84x + 28x2 = -84x + -28x2 + 84x + 28x2 Reorder the terms: 84x + 28x2 = -84x + 84x + -28x2 + 28x2 Combine like terms: -84x + 84x = 0 84x + 28x2 = 0 + -28x2 + 28x2 84x + 28x2 = -28x2 + 28x2 Combine like terms: -28x2 + 28x2 = 0 84x + 28x2 = 0 Factor out the Greatest Common Factor (GCF), '28x'. 28x(3 + x) = 0 Ignore the factor 28.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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