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Simplifying 4x + -8x + -3 = -3 + -5x2 Reorder the terms: -3 + 4x + -8x = -3 + -5x2 Combine like terms: 4x + -8x = -4x -3 + -4x = -3 + -5x2 Add '3' to each side of the equation. -3 + 3 + -4x = -3 + 3 + -5x2 Combine like terms: -3 + 3 = 0 0 + -4x = -3 + 3 + -5x2 -4x = -3 + 3 + -5x2 Combine like terms: -3 + 3 = 0 -4x = 0 + -5x2 -4x = -5x2 Solving -4x = -5x2 Solving for variable 'x'. Combine like terms: -5x2 + 5x2 = 0 -4x + 5x2 = 0 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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