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Simplifying 6x2 + 15x = 4x + 35 Reorder the terms: 15x + 6x2 = 4x + 35 Reorder the terms: 15x + 6x2 = 35 + 4x Solving 15x + 6x2 = 35 + 4x Solving for variable 'x'. Reorder the terms: -35 + 15x + -4x + 6x2 = 35 + 4x + -35 + -4x Combine like terms: 15x + -4x = 11x -35 + 11x + 6x2 = 35 + 4x + -35 + -4x Reorder the terms: -35 + 11x + 6x2 = 35 + -35 + 4x + -4x Combine like terms: 35 + -35 = 0 -35 + 11x + 6x2 = 0 + 4x + -4x -35 + 11x + 6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 11x + 6x2 = 0 Factor a trinomial. (-7 + -2x)(5 + -3x) = 0Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 2
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 = 1.666666667Solution
x = {-3.5, 1.666666667}
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