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Simplifying x(x + -3) + -1x(1 + -4x) = 0 Reorder the terms: x(-3 + x) + -1x(1 + -4x) = 0 (-3 * x + x * x) + -1x(1 + -4x) = 0 (-3x + x2) + -1x(1 + -4x) = 0 -3x + x2 + (1 * -1x + -4x * -1x) = 0 -3x + x2 + (-1x + 4x2) = 0 Reorder the terms: -3x + -1x + x2 + 4x2 = 0 Combine like terms: -3x + -1x = -4x -4x + x2 + 4x2 = 0 Combine like terms: x2 + 4x2 = 5x2 -4x + 5x2 = 0 Solving -4x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 5x) = 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 '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, 0.8}
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