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Simplifying tan(x + -5)(25sin2(x + -1)) = 0 Reorder the terms: ant(-5 + x)(25sin2(x + -1)) = 0 Reorder the terms: ant(-5 + x)(25in2s(-1 + x)) = 0 ant(-5 + x)((-1 * 25in2s + x * 25in2s)) = 0 ant(-5 + x)((-25in2s + 25in2sx)) = 0 Multiply (-5 + x) * (-25in2s + 25in2sx) ant(-5(-25in2s + 25in2sx) + x(-25in2s + 25in2sx)) = 0 ant((-25in2s * -5 + 25in2sx * -5) + x(-25in2s + 25in2sx)) = 0 ant((125in2s + -125in2sx) + x(-25in2s + 25in2sx)) = 0 ant(125in2s + -125in2sx + (-25in2s * x + 25in2sx * x)) = 0 ant(125in2s + -125in2sx + (-25in2sx + 25in2sx2)) = 0 Combine like terms: -125in2sx + -25in2sx = -150in2sx ant(125in2s + -150in2sx + 25in2sx2) = 0 (125in2s * ant + -150in2sx * ant + 25in2sx2 * ant) = 0 (125ain3st + -150ain3stx + 25ain3stx2) = 0 Solving 125ain3st + -150ain3stx + 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(5 + -6x + x2) = 0 Factor a trinomial. 25ain3st((1 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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