If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12t2 + 40t + -30 = 0 Reorder the terms: -30 + 40t + 12t2 = 0 Solving -30 + 40t + 12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 20t + 6t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 20t + 6t2)' equal to zero and attempt to solve: Simplifying -15 + 20t + 6t2 = 0 Solving -15 + 20t + 6t2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -2.5 + 3.333333333t + t2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + 3.333333333t + 2.5 + t2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + 3.333333333t + t2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 3.333333333t + t2 = 0 + 2.5 3.333333333t + t2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 3.333333333t + t2 = 2.5 The t term is 3.333333333t. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333t + 2.777777779 + t2 = 2.5 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333t + t2 = 2.5 + 2.777777779 Combine like terms: 2.5 + 2.777777779 = 5.277777779 2.777777779 + 3.333333333t + t2 = 5.277777779 Factor a perfect square on the left side: (t + 1.666666667)(t + 1.666666667) = 5.277777779 Calculate the square root of the right side: 2.297341459 Break this problem into two subproblems by setting (t + 1.666666667) equal to 2.297341459 and -2.297341459.Subproblem 1
t + 1.666666667 = 2.297341459 Simplifying t + 1.666666667 = 2.297341459 Reorder the terms: 1.666666667 + t = 2.297341459 Solving 1.666666667 + t = 2.297341459 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + t = 2.297341459 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + t = 2.297341459 + -1.666666667 t = 2.297341459 + -1.666666667 Combine like terms: 2.297341459 + -1.666666667 = 0.630674792 t = 0.630674792 Simplifying t = 0.630674792Subproblem 2
t + 1.666666667 = -2.297341459 Simplifying t + 1.666666667 = -2.297341459 Reorder the terms: 1.666666667 + t = -2.297341459 Solving 1.666666667 + t = -2.297341459 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + t = -2.297341459 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + t = -2.297341459 + -1.666666667 t = -2.297341459 + -1.666666667 Combine like terms: -2.297341459 + -1.666666667 = -3.964008126 t = -3.964008126 Simplifying t = -3.964008126Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.630674792, -3.964008126}Solution
t = {0.630674792, -3.964008126}
| 9+4x=(1-2x) | | 3y+1.14=5 | | 2.5g+9=-6-1.67g | | 6p^2-11p+3q^2=0 | | 2-3x-3=7 | | 9y-4=31 | | 2p^2-pq-3q^2=0 | | 18mn^2x^2-81mn^2x+27mn^2=0 | | p-(3.2)=5.9 | | 2x+(-6)=98 | | 5x+5+4x+17+x=132 | | 45=-15x | | 36m^2nx^2+84m^2nx-24m^2n=0 | | 3x^3-18x^2-21x=0 | | 3x^2-18x^2-21x=0 | | z-(-1.4)=-7.2 | | 36a^2bx^2-12a^2bx+108a^2b=0 | | z^2+9z+18= | | n^3+8n=5n^2+4 | | 12=4x-7-1 | | 4w-8=3 | | x(5+2x)=33 | | 2x^3+x^2-15x=0 | | 1.15a+8-0.4=-7 | | 7v+2=9-4(2v-2) | | 4x^2-19=5 | | 3(3z-1)=2z+32 | | y^2+14y+40=0 | | 5x+3(x+4)=37 | | x-2+x-1+x+x+1+x+2=5x | | 8(3t-4)+16=-7 | | 268=85-u |