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Simplifying 4x2 + 2(12x) + 2(16x) = 93 Remove parenthesis around (12x) 4x2 + 2 * 12x + 2(16x) = 93 Multiply 2 * 12 4x2 + 24x + 2(16x) = 93 Remove parenthesis around (16x) 4x2 + 24x + 2 * 16x = 93 Multiply 2 * 16 4x2 + 24x + 32x = 93 Reorder the terms: 24x + 32x + 4x2 = 93 Combine like terms: 24x + 32x = 56x 56x + 4x2 = 93 Solving 56x + 4x2 = 93 Solving for variable 'x'. Reorder the terms: -93 + 56x + 4x2 = 93 + -93 Combine like terms: 93 + -93 = 0 -93 + 56x + 4x2 = 0 Factor a trinomial. (-31 + -2x)(3 + -2x) = 0Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve: Simplifying -31 + -2x = 0 Solving -31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-15.5, 1.5}
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