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Simplifying x2 + -0.4x + -0.2 = -0.2 Reorder the terms: -0.2 + -0.4x + x2 = -0.2 Add '0.2' to each side of the equation. -0.2 + -0.4x + 0.2 + x2 = -0.2 + 0.2 Reorder the terms: -0.2 + 0.2 + -0.4x + x2 = -0.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.4x + x2 = -0.2 + 0.2 -0.4x + x2 = -0.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 -0.4x + x2 = 0.0 Solving -0.4x + x2 = 0.0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-0.4 + x) = 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 '(-0.4 + x)' equal to zero and attempt to solve: Simplifying -0.4 + x = 0 Solving -0.4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = 0 + 0.4 x = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 x = 0.4 Simplifying x = 0.4Solution
x = {0, 0.4}
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