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Simplifying 4x2 + 5(2x2 + -1x) + -3x = 0 Reorder the terms: 4x2 + 5(-1x + 2x2) + -3x = 0 4x2 + (-1x * 5 + 2x2 * 5) + -3x = 0 4x2 + (-5x + 10x2) + -3x = 0 Reorder the terms: -5x + -3x + 4x2 + 10x2 = 0 Combine like terms: -5x + -3x = -8x -8x + 4x2 + 10x2 = 0 Combine like terms: 4x2 + 10x2 = 14x2 -8x + 14x2 = 0 Solving -8x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + 7x) = 0 Ignore the factor 2.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 '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0, 0.5714285714}
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