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Simplifying 810x2 + 1260x + 490 = 0 Reorder the terms: 490 + 1260x + 810x2 = 0 Solving 490 + 1260x + 810x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(49 + 126x + 81x2) = 0 Factor a trinomial. 10((7 + 9x)(7 + 9x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 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 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 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 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Solution
x = {-0.7777777778, -0.7777777778}
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