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Simplifying 2x(4x + -2) + -1(6x + -3x) = 0 Reorder the terms: 2x(-2 + 4x) + -1(6x + -3x) = 0 (-2 * 2x + 4x * 2x) + -1(6x + -3x) = 0 (-4x + 8x2) + -1(6x + -3x) = 0 Combine like terms: 6x + -3x = 3x -4x + 8x2 + -1(3x) = 0 Remove parenthesis around (3x) -4x + 8x2 + -1 * 3x = 0 Multiply -1 * 3 -4x + 8x2 + -3x = 0 Reorder the terms: -4x + -3x + 8x2 = 0 Combine like terms: -4x + -3x = -7x -7x + 8x2 = 0 Solving -7x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 8x) = 0Subproblem 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 '(-7 + 8x)' equal to zero and attempt to solve: Simplifying -7 + 8x = 0 Solving -7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 0 + 7 8x = 0 + 7 Combine like terms: 0 + 7 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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