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Simplifying (8x3 + -6x2 + 7x) + (2x3 + 9x2 + -14x) = 0 Reorder the terms: (7x + -6x2 + 8x3) + (2x3 + 9x2 + -14x) = 0 Remove parenthesis around (7x + -6x2 + 8x3) 7x + -6x2 + 8x3 + (2x3 + 9x2 + -14x) = 0 Reorder the terms: 7x + -6x2 + 8x3 + (-14x + 9x2 + 2x3) = 0 Remove parenthesis around (-14x + 9x2 + 2x3) 7x + -6x2 + 8x3 + -14x + 9x2 + 2x3 = 0 Reorder the terms: 7x + -14x + -6x2 + 9x2 + 8x3 + 2x3 = 0 Combine like terms: 7x + -14x = -7x -7x + -6x2 + 9x2 + 8x3 + 2x3 = 0 Combine like terms: -6x2 + 9x2 = 3x2 -7x + 3x2 + 8x3 + 2x3 = 0 Combine like terms: 8x3 + 2x3 = 10x3 -7x + 3x2 + 10x3 = 0 Solving -7x + 3x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 3x + 10x2) = 0 Factor a trinomial. x((-1 + -1x)(7 + -10x)) = 0Subproblem 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 '(-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 = -1Subproblem 3
Set the factor '(7 + -10x)' equal to zero and attempt to solve: Simplifying 7 + -10x = 0 Solving 7 + -10x = 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 + -10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 0 + -7 -10x = 0 + -7 Combine like terms: 0 + -7 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7Solution
x = {0, -1, 0.7}
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