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Simplifying (18x2 + -3x) + (24x + -4) = 0 Reorder the terms: (-3x + 18x2) + (24x + -4) = 0 Remove parenthesis around (-3x + 18x2) -3x + 18x2 + (24x + -4) = 0 Reorder the terms: -3x + 18x2 + (-4 + 24x) = 0 Remove parenthesis around (-4 + 24x) -3x + 18x2 + -4 + 24x = 0 Reorder the terms: -4 + -3x + 24x + 18x2 = 0 Combine like terms: -3x + 24x = 21x -4 + 21x + 18x2 = 0 Solving -4 + 21x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(1 + -6x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-1.333333333, 0.1666666667}
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