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Simplifying (tan(x + -3))(25sin2(x + -1)) = 0 Reorder the terms: (ant(-3 + x))(25sin2(x + -1)) = 0 ((-3 * ant + x * ant))(25sin2(x + -1)) = 0 ((-3ant + antx))(25sin2(x + -1)) = 0 Reorder the terms: (-3ant + antx)(25in2s(-1 + x)) = 0 (-3ant + antx)((-1 * 25in2s + x * 25in2s)) = 0 (-3ant + antx)((-25in2s + 25in2sx)) = 0 Multiply (-3ant + antx) * (-25in2s + 25in2sx) (-3ant * (-25in2s + 25in2sx) + antx(-25in2s + 25in2sx)) = 0 ((-25in2s * -3ant + 25in2sx * -3ant) + antx(-25in2s + 25in2sx)) = 0 ((75ain3st + -75ain3stx) + antx(-25in2s + 25in2sx)) = 0 (75ain3st + -75ain3stx + (-25in2s * antx + 25in2sx * antx)) = 0 (75ain3st + -75ain3stx + (-25ain3stx + 25ain3stx2)) = 0 Combine like terms: -75ain3stx + -25ain3stx = -100ain3stx (75ain3st + -100ain3stx + 25ain3stx2) = 0 Solving 75ain3st + -100ain3stx + 25ain3stx2 = 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), '25ain3st'. 25ain3st(3 + -4x + x2) = 0 Factor a trinomial. 25ain3st((1 + -1x)(3 + -1x)) = 0 Ignore the factor 25.Subproblem 1
Set the factor 'ain3st' equal to zero and attempt to solve: Simplifying ain3st = 0 Solving ain3st = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ain3st = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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