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Simplifying 8x2 + 3x + -13x2 + 10x2 + -25x + -1x = 0 Reorder the terms: 3x + -25x + -1x + 8x2 + -13x2 + 10x2 = 0 Combine like terms: 3x + -25x = -22x -22x + -1x + 8x2 + -13x2 + 10x2 = 0 Combine like terms: -22x + -1x = -23x -23x + 8x2 + -13x2 + 10x2 = 0 Combine like terms: 8x2 + -13x2 = -5x2 -23x + -5x2 + 10x2 = 0 Combine like terms: -5x2 + 10x2 = 5x2 -23x + 5x2 = 0 Solving -23x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-23 + 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 '(-23 + 5x)' equal to zero and attempt to solve: Simplifying -23 + 5x = 0 Solving -23 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 0 + 23 5x = 0 + 23 Combine like terms: 0 + 23 = 23 5x = 23 Divide each side by '5'. x = 4.6 Simplifying x = 4.6Solution
x = {0, 4.6}
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