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Simplifying 5x2 + 5(4x2 + -1x) + -2x = 0 Reorder the terms: 5x2 + 5(-1x + 4x2) + -2x = 0 5x2 + (-1x * 5 + 4x2 * 5) + -2x = 0 5x2 + (-5x + 20x2) + -2x = 0 Reorder the terms: -5x + -2x + 5x2 + 20x2 = 0 Combine like terms: -5x + -2x = -7x -7x + 5x2 + 20x2 = 0 Combine like terms: 5x2 + 20x2 = 25x2 -7x + 25x2 = 0 Solving -7x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 25x) = 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 + 25x)' equal to zero and attempt to solve: Simplifying -7 + 25x = 0 Solving -7 + 25x = 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 + 25x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 25x = 0 + 7 25x = 0 + 7 Combine like terms: 0 + 7 = 7 25x = 7 Divide each side by '25'. x = 0.28 Simplifying x = 0.28Solution
x = {0, 0.28}
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