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Simplifying 5x2 + 20x + 30 = 1815 Reorder the terms: 30 + 20x + 5x2 = 1815 Solving 30 + 20x + 5x2 = 1815 Solving for variable 'x'. Reorder the terms: 30 + -1815 + 20x + 5x2 = 1815 + -1815 Combine like terms: 30 + -1815 = -1785 -1785 + 20x + 5x2 = 1815 + -1815 Combine like terms: 1815 + -1815 = 0 -1785 + 20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-357 + 4x + x2) = 0 Factor a trinomial. 5((-21 + -1x)(17 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-21, 17}
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