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Simplifying 4x2 * 5x + (-1x) * 5x = 0 Reorder the terms for easier multiplication: 4 * 5x2 * x + (-1x) * 5x = 0 Multiply 4 * 5 20x2 * x + (-1x) * 5x = 0 Multiply x2 * x 20x3 + (-1x) * 5x = 0 Remove parenthesis around (-1x) 20x3 + -1x * 5x = 0 Reorder the terms for easier multiplication: 20x3 + -1 * 5x * x = 0 Multiply -1 * 5 20x3 + -5x * x = 0 Multiply x * x 20x3 + -5x2 = 0 Reorder the terms: -5x2 + 20x3 = 0 Solving -5x2 + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-1 + 4x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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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