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Simplifying 2780 = 14x2 + 16x + 910 Reorder the terms: 2780 = 910 + 16x + 14x2 Solving 2780 = 910 + 16x + 14x2 Solving for variable 'x'. Combine like terms: 2780 + -910 = 1870 1870 + -16x + -14x2 = 910 + 16x + 14x2 + -910 + -16x + -14x2 Reorder the terms: 1870 + -16x + -14x2 = 910 + -910 + 16x + -16x + 14x2 + -14x2 Combine like terms: 910 + -910 = 0 1870 + -16x + -14x2 = 0 + 16x + -16x + 14x2 + -14x2 1870 + -16x + -14x2 = 16x + -16x + 14x2 + -14x2 Combine like terms: 16x + -16x = 0 1870 + -16x + -14x2 = 0 + 14x2 + -14x2 1870 + -16x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 1870 + -16x + -14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(935 + -8x + -7x2) = 0 Factor a trinomial. 2((11 + -1x)(85 + 7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(85 + 7x)' equal to zero and attempt to solve: Simplifying 85 + 7x = 0 Solving 85 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + 7x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 7x = 0 + -85 7x = 0 + -85 Combine like terms: 0 + -85 = -85 7x = -85 Divide each side by '7'. x = -12.14285714 Simplifying x = -12.14285714Solution
x = {11, -12.14285714}
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