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Simplifying 8x2 + 24x + 19 = 10 + -8x2 Reorder the terms: 19 + 24x + 8x2 = 10 + -8x2 Solving 19 + 24x + 8x2 = 10 + -8x2 Solving for variable 'x'. Reorder the terms: 19 + -10 + 24x + 8x2 + 8x2 = 10 + -8x2 + -10 + 8x2 Combine like terms: 19 + -10 = 9 9 + 24x + 8x2 + 8x2 = 10 + -8x2 + -10 + 8x2 Combine like terms: 8x2 + 8x2 = 16x2 9 + 24x + 16x2 = 10 + -8x2 + -10 + 8x2 Reorder the terms: 9 + 24x + 16x2 = 10 + -10 + -8x2 + 8x2 Combine like terms: 10 + -10 = 0 9 + 24x + 16x2 = 0 + -8x2 + 8x2 9 + 24x + 16x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 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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