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Simplifying expand(3x + -2)(2x + -5) = 0 Reorder the terms: adenpx(-2 + 3x)(2x + -5) = 0 Reorder the terms: adenpx(-2 + 3x)(-5 + 2x) = 0 Multiply (-2 + 3x) * (-5 + 2x) adenpx(-2(-5 + 2x) + 3x * (-5 + 2x)) = 0 adenpx((-5 * -2 + 2x * -2) + 3x * (-5 + 2x)) = 0 adenpx((10 + -4x) + 3x * (-5 + 2x)) = 0 adenpx(10 + -4x + (-5 * 3x + 2x * 3x)) = 0 adenpx(10 + -4x + (-15x + 6x2)) = 0 Combine like terms: -4x + -15x = -19x adenpx(10 + -19x + 6x2) = 0 (10 * adenpx + -19x * adenpx + 6x2 * adenpx) = 0 (10adenpx + -19adenpx2 + 6adenpx3) = 0 Solving 10adenpx + -19adenpx2 + 6adenpx3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'adenpx'. adenpx(10 + -19x + 6x2) = 0 Factor a trinomial. adenpx((2 + -3x)(5 + -2x)) = 0Subproblem 1
Set the factor 'adenpx' equal to zero and attempt to solve: Simplifying adenpx = 0 Solving adenpx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adenpx = 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 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Add '3x' to each side of the equation. -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 0 = -2 + 3x Simplifying 0 = -2 + 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Add '2x' to each side of the equation. -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 0 = -5 + 2x Simplifying 0 = -5 + 2x 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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