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Simplifying 4x(7 + -3x + -4x) + 5(6x + -12x) = 0 Combine like terms: -3x + -4x = -7x 4x(7 + -7x) + 5(6x + -12x) = 0 (7 * 4x + -7x * 4x) + 5(6x + -12x) = 0 (28x + -28x2) + 5(6x + -12x) = 0 Combine like terms: 6x + -12x = -6x 28x + -28x2 + 5(-6x) = 0 Remove parenthesis around (-6x) 28x + -28x2 + 5 * -6x = 0 Multiply 5 * -6 28x + -28x2 + -30x = 0 Reorder the terms: 28x + -30x + -28x2 = 0 Combine like terms: 28x + -30x = -2x -2x + -28x2 = 0 Solving -2x + -28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(1 + 14x) = 0 Ignore the factor -2.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 '(1 + 14x)' equal to zero and attempt to solve: Simplifying 1 + 14x = 0 Solving 1 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 14x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 0 + -1 14x = 0 + -1 Combine like terms: 0 + -1 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143Solution
x = {0, -0.07142857143}
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