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Simplifying 6x3 = -15x2 + 21x Reorder the terms: 6x3 = 21x + -15x2 Solving 6x3 = 21x + -15x2 Solving for variable 'x'. Reorder the terms: -21x + 15x2 + 6x3 = 21x + -15x2 + -21x + 15x2 Reorder the terms: -21x + 15x2 + 6x3 = 21x + -21x + -15x2 + 15x2 Combine like terms: 21x + -21x = 0 -21x + 15x2 + 6x3 = 0 + -15x2 + 15x2 -21x + 15x2 + 6x3 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 -21x + 15x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-7 + 5x + 2x2) = 0 Factor a trinomial. 3x((-7 + -2x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
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, -3.5, 1}
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