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Simplifying x = 4x(0.1x) Remove parenthesis around (0.1x) x = 4x * 0.1x Reorder the terms for easier multiplication: x = 4 * 0.1x * x Multiply 4 * 0.1 x = 0.4x * x Multiply x * x x = 0.4x2 Solving x = 0.4x2 Solving for variable 'x'. Combine like terms: 0.4x2 + -0.4x2 = 0.0 x + -0.4x2 = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -0.4x) = 0.0Subproblem 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 '(1 + -0.4x)' equal to zero and attempt to solve: Simplifying 1 + -0.4x = 0 Solving 1 + -0.4x = 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 + -0.4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4x = 0 + -1 -0.4x = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4x = -1 Divide each side by '-0.4'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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