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Simplifying 49x2 + 25x = 70x Reorder the terms: 25x + 49x2 = 70x Solving 25x + 49x2 = 70x Solving for variable 'x'. Reorder the terms: 25x + -70x + 49x2 = 70x + -70x Combine like terms: 25x + -70x = -45x -45x + 49x2 = 70x + -70x Combine like terms: 70x + -70x = 0 -45x + 49x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-45 + 49x) = 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 '(-45 + 49x)' equal to zero and attempt to solve: Simplifying -45 + 49x = 0 Solving -45 + 49x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 49x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 49x = 0 + 45 49x = 0 + 45 Combine like terms: 0 + 45 = 45 49x = 45 Divide each side by '49'. x = 0.9183673469 Simplifying x = 0.9183673469Solution
x = {0, 0.9183673469}
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