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Simplifying 8x2 + 16x + 10 = 1570 Reorder the terms: 10 + 16x + 8x2 = 1570 Solving 10 + 16x + 8x2 = 1570 Solving for variable 'x'. Reorder the terms: 10 + -1570 + 16x + 8x2 = 1570 + -1570 Combine like terms: 10 + -1570 = -1560 -1560 + 16x + 8x2 = 1570 + -1570 Combine like terms: 1570 + -1570 = 0 -1560 + 16x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-195 + 2x + x2) = 0 Factor a trinomial. 8((-15 + -1x)(13 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-15, 13}
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