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Simplifying 5x2 + -2(3x + -4x2) + -1x = 0 5x2 + (3x * -2 + -4x2 * -2) + -1x = 0 5x2 + (-6x + 8x2) + -1x = 0 Reorder the terms: -6x + -1x + 5x2 + 8x2 = 0 Combine like terms: -6x + -1x = -7x -7x + 5x2 + 8x2 = 0 Combine like terms: 5x2 + 8x2 = 13x2 -7x + 13x2 = 0 Solving -7x + 13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 13x) = 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 '(-7 + 13x)' equal to zero and attempt to solve: Simplifying -7 + 13x = 0 Solving -7 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 0 + 7 13x = 0 + 7 Combine like terms: 0 + 7 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385Solution
x = {0, 0.5384615385}
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