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Simplifying 4x + -2x * 10x + -3x = 0 Reorder the terms for easier multiplication: 4x + -2 * 10x * x + -3x = 0 Multiply -2 * 10 4x + -20x * x + -3x = 0 Multiply x * x 4x + -20x2 + -3x = 0 Reorder the terms: 4x + -3x + -20x2 = 0 Combine like terms: 4x + -3x = 1x 1x + -20x2 = 0 Solving 1x + -20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -20x) = 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 + -20x)' equal to zero and attempt to solve: Simplifying 1 + -20x = 0 Solving 1 + -20x = 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 + -20x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -20x = 0 + -1 -20x = 0 + -1 Combine like terms: 0 + -1 = -1 -20x = -1 Divide each side by '-20'. x = 0.05 Simplifying x = 0.05Solution
x = {0, 0.05}
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