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Simplifying 2x2 + 5(6x2 + -1x) + -3x = 0 Reorder the terms: 2x2 + 5(-1x + 6x2) + -3x = 0 2x2 + (-1x * 5 + 6x2 * 5) + -3x = 0 2x2 + (-5x + 30x2) + -3x = 0 Reorder the terms: -5x + -3x + 2x2 + 30x2 = 0 Combine like terms: -5x + -3x = -8x -8x + 2x2 + 30x2 = 0 Combine like terms: 2x2 + 30x2 = 32x2 -8x + 32x2 = 0 Solving -8x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(-1 + 4x) = 0 Ignore the factor 8.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 '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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