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Simplifying 15x + 2x2 = 63 Solving 15x + 2x2 = 63 Solving for variable 'x'. Reorder the terms: -63 + 15x + 2x2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + 15x + 2x2 = 0 Factor a trinomial. (-21 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-21 + -2x)' equal to zero and attempt to solve: Simplifying -21 + -2x = 0 Solving -21 + -2x = 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 + -2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 0 + 21 -2x = 0 + 21 Combine like terms: 0 + 21 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-10.5, 3}
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