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Simplifying 3x2 + 5(5x2 + -1x) + -2x = 0 Reorder the terms: 3x2 + 5(-1x + 5x2) + -2x = 0 3x2 + (-1x * 5 + 5x2 * 5) + -2x = 0 3x2 + (-5x + 25x2) + -2x = 0 Reorder the terms: -5x + -2x + 3x2 + 25x2 = 0 Combine like terms: -5x + -2x = -7x -7x + 3x2 + 25x2 = 0 Combine like terms: 3x2 + 25x2 = 28x2 -7x + 28x2 = 0 Solving -7x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-1 + 4x) = 0 Ignore the factor 7.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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