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Simplifying 2x2 + 4x + -30 = 3010 Reorder the terms: -30 + 4x + 2x2 = 3010 Solving -30 + 4x + 2x2 = 3010 Solving for variable 'x'. Reorder the terms: -30 + -3010 + 4x + 2x2 = 3010 + -3010 Combine like terms: -30 + -3010 = -3040 -3040 + 4x + 2x2 = 3010 + -3010 Combine like terms: 3010 + -3010 = 0 -3040 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1520 + 2x + x2) = 0 Factor a trinomial. 2((-40 + -1x)(38 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(38 + -1x)' equal to zero and attempt to solve: Simplifying 38 + -1x = 0 Solving 38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38Solution
x = {-40, 38}
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