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Simplifying 29x2 + 21x = 8x2 + -3x Reorder the terms: 21x + 29x2 = 8x2 + -3x Reorder the terms: 21x + 29x2 = -3x + 8x2 Solving 21x + 29x2 = -3x + 8x2 Solving for variable 'x'. Reorder the terms: 21x + 3x + 29x2 + -8x2 = -3x + 8x2 + 3x + -8x2 Combine like terms: 21x + 3x = 24x 24x + 29x2 + -8x2 = -3x + 8x2 + 3x + -8x2 Combine like terms: 29x2 + -8x2 = 21x2 24x + 21x2 = -3x + 8x2 + 3x + -8x2 Reorder the terms: 24x + 21x2 = -3x + 3x + 8x2 + -8x2 Combine like terms: -3x + 3x = 0 24x + 21x2 = 0 + 8x2 + -8x2 24x + 21x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 24x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(8 + 7x) = 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 '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Solution
x = {0, -1.142857143}
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