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Simplifying (x2 + -9x + 8) + 3(2x2 + x + -3) = 0 Reorder the terms: (8 + -9x + x2) + 3(2x2 + x + -3) = 0 Remove parenthesis around (8 + -9x + x2) 8 + -9x + x2 + 3(2x2 + x + -3) = 0 Reorder the terms: 8 + -9x + x2 + 3(-3 + x + 2x2) = 0 8 + -9x + x2 + (-3 * 3 + x * 3 + 2x2 * 3) = 0 8 + -9x + x2 + (-9 + 3x + 6x2) = 0 Reorder the terms: 8 + -9 + -9x + 3x + x2 + 6x2 = 0 Combine like terms: 8 + -9 = -1 -1 + -9x + 3x + x2 + 6x2 = 0 Combine like terms: -9x + 3x = -6x -1 + -6x + x2 + 6x2 = 0 Combine like terms: x2 + 6x2 = 7x2 -1 + -6x + 7x2 = 0 Solving -1 + -6x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.1428571429, 1}
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