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Simplifying (2x2 + 7x + 6) * 3x5 = 0 Reorder the terms: (6 + 7x + 2x2) * 3x5 = 0 Reorder the terms for easier multiplication: 3x5(6 + 7x + 2x2) = 0 (6 * 3x5 + 7x * 3x5 + 2x2 * 3x5) = 0 (18x5 + 21x6 + 6x7) = 0 Solving 18x5 + 21x6 + 6x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x5'. 3x5(6 + 7x + 2x2) = 0 Factor a trinomial. 3x5((2 + x)(3 + 2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-2, -1.5}
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