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Simplifying -7x(4x + -3) + -6x(8 + 2x) = 0 Reorder the terms: -7x(-3 + 4x) + -6x(8 + 2x) = 0 (-3 * -7x + 4x * -7x) + -6x(8 + 2x) = 0 (21x + -28x2) + -6x(8 + 2x) = 0 21x + -28x2 + (8 * -6x + 2x * -6x) = 0 21x + -28x2 + (-48x + -12x2) = 0 Reorder the terms: 21x + -48x + -28x2 + -12x2 = 0 Combine like terms: 21x + -48x = -27x -27x + -28x2 + -12x2 = 0 Combine like terms: -28x2 + -12x2 = -40x2 -27x + -40x2 = 0 Solving -27x + -40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(27 + 40x) = 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 '(27 + 40x)' equal to zero and attempt to solve: Simplifying 27 + 40x = 0 Solving 27 + 40x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 40x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 40x = 0 + -27 40x = 0 + -27 Combine like terms: 0 + -27 = -27 40x = -27 Divide each side by '40'. x = -0.675 Simplifying x = -0.675Solution
x = {0, -0.675}
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