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Simplifying 2x2 + 5(5x2 + -1x) + -2x = 0 Reorder the terms: 2x2 + 5(-1x + 5x2) + -2x = 0 2x2 + (-1x * 5 + 5x2 * 5) + -2x = 0 2x2 + (-5x + 25x2) + -2x = 0 Reorder the terms: -5x + -2x + 2x2 + 25x2 = 0 Combine like terms: -5x + -2x = -7x -7x + 2x2 + 25x2 = 0 Combine like terms: 2x2 + 25x2 = 27x2 -7x + 27x2 = 0 Solving -7x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 27x) = 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 + 27x)' equal to zero and attempt to solve: Simplifying -7 + 27x = 0 Solving -7 + 27x = 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 + 27x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 27x = 0 + 7 27x = 0 + 7 Combine like terms: 0 + 7 = 7 27x = 7 Divide each side by '27'. x = 0.2592592593 Simplifying x = 0.2592592593Solution
x = {0, 0.2592592593}
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