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Simplifying 21x2 + 5x + -35 = 3x2 + -4x Reorder the terms: -35 + 5x + 21x2 = 3x2 + -4x Reorder the terms: -35 + 5x + 21x2 = -4x + 3x2 Solving -35 + 5x + 21x2 = -4x + 3x2 Solving for variable 'x'. Reorder the terms: -35 + 5x + 4x + 21x2 + -3x2 = -4x + 3x2 + 4x + -3x2 Combine like terms: 5x + 4x = 9x -35 + 9x + 21x2 + -3x2 = -4x + 3x2 + 4x + -3x2 Combine like terms: 21x2 + -3x2 = 18x2 -35 + 9x + 18x2 = -4x + 3x2 + 4x + -3x2 Reorder the terms: -35 + 9x + 18x2 = -4x + 4x + 3x2 + -3x2 Combine like terms: -4x + 4x = 0 -35 + 9x + 18x2 = 0 + 3x2 + -3x2 -35 + 9x + 18x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -35 + 9x + 18x2 = 0 Factor a trinomial. (-5 + -3x)(7 + -6x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 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 = {-1.666666667, 1.166666667}
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