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Simplifying 16x2 + 30x + -1x3 = 6x + -9 + -1x3 Reorder the terms: 30x + 16x2 + -1x3 = 6x + -9 + -1x3 Reorder the terms: 30x + 16x2 + -1x3 = -9 + 6x + -1x3 Add 'x3' to each side of the equation. 30x + 16x2 + -1x3 + x3 = -9 + 6x + -1x3 + x3 Combine like terms: -1x3 + x3 = 0 30x + 16x2 + 0 = -9 + 6x + -1x3 + x3 30x + 16x2 = -9 + 6x + -1x3 + x3 Combine like terms: -1x3 + x3 = 0 30x + 16x2 = -9 + 6x + 0 30x + 16x2 = -9 + 6x Solving 30x + 16x2 = -9 + 6x Solving for variable 'x'. Reorder the terms: 9 + 30x + -6x + 16x2 = -9 + 6x + 9 + -6x Combine like terms: 30x + -6x = 24x 9 + 24x + 16x2 = -9 + 6x + 9 + -6x Reorder the terms: 9 + 24x + 16x2 = -9 + 9 + 6x + -6x Combine like terms: -9 + 9 = 0 9 + 24x + 16x2 = 0 + 6x + -6x 9 + 24x + 16x2 = 6x + -6x Combine like terms: 6x + -6x = 0 9 + 24x + 16x2 = 0 Factor a trinomial. (3 + 4x)(3 + 4x) = 0Subproblem 1
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 = -0.75Subproblem 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 = {-0.75, -0.75}
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