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Simplifying (-5x + -1)(2x2) = 0 Reorder the terms: (-1 + -5x)(2x2) = 0 Remove parenthesis around (2x2) (-1 + -5x) * 2x2 = 0 Reorder the terms for easier multiplication: 2x2(-1 + -5x) = 0 (-1 * 2x2 + -5x * 2x2) = 0 (-2x2 + -10x3) = 0 Solving -2x2 + -10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x2'. -2x2(1 + 5x) = 0 Ignore the factor -2.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 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0, -0.2}
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