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Simplifying -3x2 + -10x + 908 = 300 Reorder the terms: 908 + -10x + -3x2 = 300 Solving 908 + -10x + -3x2 = 300 Solving for variable 'x'. Reorder the terms: 908 + -300 + -10x + -3x2 = 300 + -300 Combine like terms: 908 + -300 = 608 608 + -10x + -3x2 = 300 + -300 Combine like terms: 300 + -300 = 0 608 + -10x + -3x2 = 0 Factor a trinomial. (38 + -3x)(16 + x) = 0Subproblem 1
Set the factor '(38 + -3x)' equal to zero and attempt to solve: Simplifying 38 + -3x = 0 Solving 38 + -3x = 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 + -3x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 0 + -38 -3x = 0 + -38 Combine like terms: 0 + -38 = -38 -3x = -38 Divide each side by '-3'. x = 12.66666667 Simplifying x = 12.66666667Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {12.66666667, -16}
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