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Simplifying 25x2 + 30x + 9 = 9 + -6x + 4x2 Reorder the terms: 9 + 30x + 25x2 = 9 + -6x + 4x2 Add '-9' to each side of the equation. 9 + 30x + -9 + 25x2 = 9 + -6x + -9 + 4x2 Reorder the terms: 9 + -9 + 30x + 25x2 = 9 + -6x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + 30x + 25x2 = 9 + -6x + -9 + 4x2 30x + 25x2 = 9 + -6x + -9 + 4x2 Reorder the terms: 30x + 25x2 = 9 + -9 + -6x + 4x2 Combine like terms: 9 + -9 = 0 30x + 25x2 = 0 + -6x + 4x2 30x + 25x2 = -6x + 4x2 Solving 30x + 25x2 = -6x + 4x2 Solving for variable 'x'. Reorder the terms: 30x + 6x + 25x2 + -4x2 = -6x + 4x2 + 6x + -4x2 Combine like terms: 30x + 6x = 36x 36x + 25x2 + -4x2 = -6x + 4x2 + 6x + -4x2 Combine like terms: 25x2 + -4x2 = 21x2 36x + 21x2 = -6x + 4x2 + 6x + -4x2 Reorder the terms: 36x + 21x2 = -6x + 6x + 4x2 + -4x2 Combine like terms: -6x + 6x = 0 36x + 21x2 = 0 + 4x2 + -4x2 36x + 21x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(12 + 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 '(12 + 7x)' equal to zero and attempt to solve: Simplifying 12 + 7x = 0 Solving 12 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714Solution
x = {0, -1.714285714}
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