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Simplifying 18 + -1x(4 + -1x) = x(6 + x) 18 + (4 * -1x + -1x * -1x) = x(6 + x) 18 + (-4x + 1x2) = x(6 + x) 18 + -4x + 1x2 = (6 * x + x * x) 18 + -4x + 1x2 = (6x + x2) Solving 18 + -4x + 1x2 = 6x + x2 Solving for variable 'x'. Reorder the terms: 18 + -4x + -6x + 1x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: -4x + -6x = -10x 18 + -10x + 1x2 + -1x2 = 6x + x2 + -6x + -1x2 Combine like terms: 1x2 + -1x2 = 0 18 + -10x + 0 = 6x + x2 + -6x + -1x2 18 + -10x = 6x + x2 + -6x + -1x2 Reorder the terms: 18 + -10x = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 18 + -10x = 0 + x2 + -1x2 18 + -10x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {1.8}
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