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Simplifying 4x * x + 12x * x + -1x + -15 = 0 Multiply x * x 4x2 + 12x * x + -1x + -15 = 0 Multiply x * x 4x2 + 12x2 + -1x + -15 = 0 Reorder the terms: -15 + -1x + 4x2 + 12x2 = 0 Combine like terms: 4x2 + 12x2 = 16x2 -15 + -1x + 16x2 = 0 Solving -15 + -1x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -16x)(1 + -1x) = 0Subproblem 1
Set the factor '(-15 + -16x)' equal to zero and attempt to solve: Simplifying -15 + -16x = 0 Solving -15 + -16x = 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 + -16x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 0 + 15 -16x = 0 + 15 Combine like terms: 0 + 15 = 15 -16x = 15 Divide each side by '-16'. x = -0.9375 Simplifying x = -0.9375Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.9375, 1}
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