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Simplifying 3x2 + 4(8x2 + -1x) + -2x = 0 Reorder the terms: 3x2 + 4(-1x + 8x2) + -2x = 0 3x2 + (-1x * 4 + 8x2 * 4) + -2x = 0 3x2 + (-4x + 32x2) + -2x = 0 Reorder the terms: -4x + -2x + 3x2 + 32x2 = 0 Combine like terms: -4x + -2x = -6x -6x + 3x2 + 32x2 = 0 Combine like terms: 3x2 + 32x2 = 35x2 -6x + 35x2 = 0 Solving -6x + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 35x) = 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 '(-6 + 35x)' equal to zero and attempt to solve: Simplifying -6 + 35x = 0 Solving -6 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 35x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 0 + 6 35x = 0 + 6 Combine like terms: 0 + 6 = 6 35x = 6 Divide each side by '35'. x = 0.1714285714 Simplifying x = 0.1714285714Solution
x = {0, 0.1714285714}
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