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Simplifying solving(3x + -1)(5x + -2) = 0 Reorder the terms: gilnosv(-1 + 3x)(5x + -2) = 0 Reorder the terms: gilnosv(-1 + 3x)(-2 + 5x) = 0 Multiply (-1 + 3x) * (-2 + 5x) gilnosv(-1(-2 + 5x) + 3x * (-2 + 5x)) = 0 gilnosv((-2 * -1 + 5x * -1) + 3x * (-2 + 5x)) = 0 gilnosv((2 + -5x) + 3x * (-2 + 5x)) = 0 gilnosv(2 + -5x + (-2 * 3x + 5x * 3x)) = 0 gilnosv(2 + -5x + (-6x + 15x2)) = 0 Combine like terms: -5x + -6x = -11x gilnosv(2 + -11x + 15x2) = 0 (2 * gilnosv + -11x * gilnosv + 15x2 * gilnosv) = 0 (2gilnosv + -11gilnosvx + 15gilnosvx2) = 0 Solving 2gilnosv + -11gilnosvx + 15gilnosvx2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'gilnosv'. gilnosv(2 + -11x + 15x2) = 0 Factor a trinomial. gilnosv((1 + -3x)(2 + -5x)) = 0Subproblem 1
Set the factor 'gilnosv' equal to zero and attempt to solve: Simplifying gilnosv = 0 Solving gilnosv = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gilnosv = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Add '3x' to each side of the equation. -3x + 3x = -1 + 3x Combine like terms: -3x + 3x = 0 0 = -1 + 3x Simplifying 0 = -1 + 3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Add '5x' to each side of the equation. -5x + 5x = -2 + 5x Combine like terms: -5x + 5x = 0 0 = -2 + 5x Simplifying 0 = -2 + 5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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