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Simplifying 3(16x2 + 21) = 110x Reorder the terms: 3(21 + 16x2) = 110x (21 * 3 + 16x2 * 3) = 110x (63 + 48x2) = 110x Solving 63 + 48x2 = 110x Solving for variable 'x'. Reorder the terms: 63 + -110x + 48x2 = 110x + -110x Combine like terms: 110x + -110x = 0 63 + -110x + 48x2 = 0 Factor a trinomial. (9 + -8x)(7 + -6x) = 0Subproblem 1
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {1.125, 1.166666667}
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