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Simplifying 16 = 4x2 + -30x Reorder the terms: 16 = -30x + 4x2 Solving 16 = -30x + 4x2 Solving for variable 'x'. Reorder the terms: 16 + 30x + -4x2 = -30x + 30x + 4x2 + -4x2 Combine like terms: -30x + 30x = 0 16 + 30x + -4x2 = 0 + 4x2 + -4x2 16 + 30x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 16 + 30x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 15x + -2x2) = 0 Factor a trinomial. 2((8 + -1x)(1 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {8, -0.5}
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