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Simplifying -3x(4x + 2) = 7x Reorder the terms: -3x(2 + 4x) = 7x (2 * -3x + 4x * -3x) = 7x (-6x + -12x2) = 7x Solving -6x + -12x2 = 7x Solving for variable 'x'. Reorder the terms: -6x + -7x + -12x2 = 7x + -7x Combine like terms: -6x + -7x = -13x -13x + -12x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -13x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(13 + 12x) = 0 Ignore the factor -1.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 '(13 + 12x)' equal to zero and attempt to solve: Simplifying 13 + 12x = 0 Solving 13 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 0 + -13 12x = 0 + -13 Combine like terms: 0 + -13 = -13 12x = -13 Divide each side by '12'. x = -1.083333333 Simplifying x = -1.083333333Solution
x = {0, -1.083333333}
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