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Simplifying 5x(1 + -2x) + -3x(x + 18) = 0 (1 * 5x + -2x * 5x) + -3x(x + 18) = 0 (5x + -10x2) + -3x(x + 18) = 0 Reorder the terms: 5x + -10x2 + -3x(18 + x) = 0 5x + -10x2 + (18 * -3x + x * -3x) = 0 5x + -10x2 + (-54x + -3x2) = 0 Reorder the terms: 5x + -54x + -10x2 + -3x2 = 0 Combine like terms: 5x + -54x = -49x -49x + -10x2 + -3x2 = 0 Combine like terms: -10x2 + -3x2 = -13x2 -49x + -13x2 = 0 Solving -49x + -13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(49 + 13x) = 0 Ignore the factor -1.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 '(49 + 13x)' equal to zero and attempt to solve: Simplifying 49 + 13x = 0 Solving 49 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 13x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 13x = 0 + -49 13x = 0 + -49 Combine like terms: 0 + -49 = -49 13x = -49 Divide each side by '13'. x = -3.769230769 Simplifying x = -3.769230769Solution
x = {0, -3.769230769}
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