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Simplifying 30h4 + 25h2 + -30 = 0 Reorder the terms: -30 + 25h2 + 30h4 = 0 Solving -30 + 25h2 + 30h4 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + 5h2 + 6h4) = 0 Factor a trinomial. 5((-3 + -2h2)(2 + -3h2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -2h2)' equal to zero and attempt to solve: Simplifying -3 + -2h2 = 0 Solving -3 + -2h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2h2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2h2 = 0 + 3 -2h2 = 0 + 3 Combine like terms: 0 + 3 = 3 -2h2 = 3 Divide each side by '-2'. h2 = -1.5 Simplifying h2 = -1.5 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 + -3h2)' equal to zero and attempt to solve: Simplifying 2 + -3h2 = 0 Solving 2 + -3h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3h2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3h2 = 0 + -2 -3h2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3h2 = -2 Divide each side by '-3'. h2 = 0.6666666667 Simplifying h2 = 0.6666666667 Take the square root of each side: h = {-0.816496581, 0.816496581}Solution
h = {-0.816496581, 0.816496581}
| .5(4x+10)=5-3x | | (-3+8m)+1= | | 3(m-5)=2(m+5) | | In(x)+In(y)= | | 36-n=13-n | | 2x+5=5-3x | | 6(x+7)+x=2(x+3)+7 | | 18t+12x/-3 | | 7-4+6= | | 20-(x/3)=x/2 | | 18-9=1 | | ln(x)+ln(y)= | | 192=15+5d/11 | | X+(6)=9 | | 5y+1.8=4y-3.3 | | 7-4+3= | | -3(-4n-1)-2n=43 | | 4(2b-5)=7b+5(4+b) | | 4n/7+3n/2=-3 | | A/1+1/A | | 11x-2=70 | | -4(r+5)=-65 | | 6.5(1+4x)=-26.5 | | x^2+12x-10=-30 | | 5x+25/5 | | (1/6)x=(-11/24) | | 11k-(k+3)+2= | | 64x^5/4x^2 | | 4(2b-5)=5(4+b) | | -2/9-4=7/18 | | k=405+273.15 | | 1/4+1/3=14 |