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Simplifying 6x * -4 * 2 = 7x * -4x * -1 Reorder the terms for easier multiplication: 6 * -4 * 2x = 7x * -4x * -1 Multiply 6 * -4 -24 * 2x = 7x * -4x * -1 Multiply -24 * 2 -48x = 7x * -4x * -1 Reorder the terms for easier multiplication: -48x = 7 * -4 * -1x * x Multiply 7 * -4 -48x = -28 * -1x * x Multiply -28 * -1 -48x = 28x * x Multiply x * x -48x = 28x2 Solving -48x = 28x2 Solving for variable 'x'. Combine like terms: 28x2 + -28x2 = 0 -48x + -28x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(12 + 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 '(12 + 7x)' equal to zero and attempt to solve: Simplifying 12 + 7x = 0 Solving 12 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714Solution
x = {0, -1.714285714}
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