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Simplifying (3x2 + x + 12) + (18x2 + -63x + 4) = 0 Reorder the terms: (12 + x + 3x2) + (18x2 + -63x + 4) = 0 Remove parenthesis around (12 + x + 3x2) 12 + x + 3x2 + (18x2 + -63x + 4) = 0 Reorder the terms: 12 + x + 3x2 + (4 + -63x + 18x2) = 0 Remove parenthesis around (4 + -63x + 18x2) 12 + x + 3x2 + 4 + -63x + 18x2 = 0 Reorder the terms: 12 + 4 + x + -63x + 3x2 + 18x2 = 0 Combine like terms: 12 + 4 = 16 16 + x + -63x + 3x2 + 18x2 = 0 Combine like terms: x + -63x = -62x 16 + -62x + 3x2 + 18x2 = 0 Combine like terms: 3x2 + 18x2 = 21x2 16 + -62x + 21x2 = 0 Solving 16 + -62x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(8 + -3x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0.2857142857, 2.666666667}
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