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Simplifying 2x2 + 5(9x2 + -1x) + -2x = 0 Reorder the terms: 2x2 + 5(-1x + 9x2) + -2x = 0 2x2 + (-1x * 5 + 9x2 * 5) + -2x = 0 2x2 + (-5x + 45x2) + -2x = 0 Reorder the terms: -5x + -2x + 2x2 + 45x2 = 0 Combine like terms: -5x + -2x = -7x -7x + 2x2 + 45x2 = 0 Combine like terms: 2x2 + 45x2 = 47x2 -7x + 47x2 = 0 Solving -7x + 47x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 47x) = 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 + 47x)' equal to zero and attempt to solve: Simplifying -7 + 47x = 0 Solving -7 + 47x = 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 + 47x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 47x = 0 + 7 47x = 0 + 7 Combine like terms: 0 + 7 = 7 47x = 7 Divide each side by '47'. x = 0.1489361702 Simplifying x = 0.1489361702Solution
x = {0, 0.1489361702}
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