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Simplifying 4x2 + 5(4x2 + -1x) + -4x = 0 Reorder the terms: 4x2 + 5(-1x + 4x2) + -4x = 0 4x2 + (-1x * 5 + 4x2 * 5) + -4x = 0 4x2 + (-5x + 20x2) + -4x = 0 Reorder the terms: -5x + -4x + 4x2 + 20x2 = 0 Combine like terms: -5x + -4x = -9x -9x + 4x2 + 20x2 = 0 Combine like terms: 4x2 + 20x2 = 24x2 -9x + 24x2 = 0 Solving -9x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-3 + 8x) = 0 Ignore the factor 3.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 '(-3 + 8x)' equal to zero and attempt to solve: Simplifying -3 + 8x = 0 Solving -3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 0 + 3 8x = 0 + 3 Combine like terms: 0 + 3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375Solution
x = {0, 0.375}
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