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Simplifying 10x2 + 6x + -280 = 0 Reorder the terms: -280 + 6x + 10x2 = 0 Solving -280 + 6x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-140 + 3x + 5x2) = 0 Factor a trinomial. 2((-28 + -5x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-28 + -5x)' equal to zero and attempt to solve: Simplifying -28 + -5x = 0 Solving -28 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -5x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 0 + 28 -5x = 0 + 28 Combine like terms: 0 + 28 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-5.6, 5}
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