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Simplifying 4x(7 + 3x(11 + -14) + -5) = 0 Combine like terms: 11 + -14 = -3 4x(7 + 3x(-3) + -5) = 0 Reorder the terms for easier multiplication: 4x(7 + 3 * -3x + -5) = 0 Multiply 3 * -3 4x(7 + -9x + -5) = 0 Reorder the terms: 4x(7 + -5 + -9x) = 0 Combine like terms: 7 + -5 = 2 4x(2 + -9x) = 0 (2 * 4x + -9x * 4x) = 0 (8x + -36x2) = 0 Solving 8x + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + -9x) = 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 '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {0, 0.2222222222}
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