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Simplifying (5xy2) + -1(10x2) = 0 Remove parenthesis around (10x2) (5xy2) + -1 * 10x2 = 0 Multiply -1 * 10 (5xy2) + -10x2 = 0 Solving (5xy2) + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(y2 + -2x) = 0 Ignore the factor 5.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 '(y2 + -2x)' equal to zero and attempt to solve: Simplifying y2 + -2x = 0 Reorder the terms: -2x + y2 = 0 Solving -2x + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. -2x + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 -2x + 0 = 0 + -1y2 -2x = 0 + -1y2 Remove the zero: -2x = -1y2 Divide each side by '-2'. x = 0.5y2 Simplifying x = 0.5y2Solution
x = {0, 0.5y2}
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