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Simplifying 4x3 + -12x2 = 9x3 + 9x2 Reorder the terms: -12x2 + 4x3 = 9x3 + 9x2 Reorder the terms: -12x2 + 4x3 = 9x2 + 9x3 Solving -12x2 + 4x3 = 9x2 + 9x3 Solving for variable 'x'. Reorder the terms: -12x2 + -9x2 + 4x3 + -9x3 = 9x2 + 9x3 + -9x2 + -9x3 Combine like terms: -12x2 + -9x2 = -21x2 -21x2 + 4x3 + -9x3 = 9x2 + 9x3 + -9x2 + -9x3 Combine like terms: 4x3 + -9x3 = -5x3 -21x2 + -5x3 = 9x2 + 9x3 + -9x2 + -9x3 Reorder the terms: -21x2 + -5x3 = 9x2 + -9x2 + 9x3 + -9x3 Combine like terms: 9x2 + -9x2 = 0 -21x2 + -5x3 = 0 + 9x3 + -9x3 -21x2 + -5x3 = 9x3 + -9x3 Combine like terms: 9x3 + -9x3 = 0 -21x2 + -5x3 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(21 + 5x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(21 + 5x)' equal to zero and attempt to solve: Simplifying 21 + 5x = 0 Solving 21 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 0 + -21 5x = 0 + -21 Combine like terms: 0 + -21 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2Solution
x = {0, -4.2}
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