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Simplifying (5 + -1x)(1 + -2x) = 5 Multiply (5 + -1x) * (1 + -2x) (5(1 + -2x) + -1x * (1 + -2x)) = 5 ((1 * 5 + -2x * 5) + -1x * (1 + -2x)) = 5 ((5 + -10x) + -1x * (1 + -2x)) = 5 (5 + -10x + (1 * -1x + -2x * -1x)) = 5 (5 + -10x + (-1x + 2x2)) = 5 Combine like terms: -10x + -1x = -11x (5 + -11x + 2x2) = 5 Add '-5' to each side of the equation. 5 + -11x + -5 + 2x2 = 5 + -5 Reorder the terms: 5 + -5 + -11x + 2x2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + -11x + 2x2 = 5 + -5 -11x + 2x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -11x + 2x2 = 0 Solving -11x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 2x) = 0Subproblem 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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5Solution
x = {0, 5.5}
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