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Simplifying (4x + -3) + 2(16x2 + -9) = 0 Reorder the terms: (-3 + 4x) + 2(16x2 + -9) = 0 Remove parenthesis around (-3 + 4x) -3 + 4x + 2(16x2 + -9) = 0 Reorder the terms: -3 + 4x + 2(-9 + 16x2) = 0 -3 + 4x + (-9 * 2 + 16x2 * 2) = 0 -3 + 4x + (-18 + 32x2) = 0 Reorder the terms: -3 + -18 + 4x + 32x2 = 0 Combine like terms: -3 + -18 = -21 -21 + 4x + 32x2 = 0 Solving -21 + 4x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(3 + -4x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.875, 0.75}
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