If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -50t2 + -1200t + 500 = 0 Reorder the terms: 500 + -1200t + -50t2 = 0 Solving 500 + -1200t + -50t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '50'. 50(10 + -24t + -1t2) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(10 + -24t + -1t2)' equal to zero and attempt to solve: Simplifying 10 + -24t + -1t2 = 0 Solving 10 + -24t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -10 + 24t + t2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + 24t + 10 + t2 = 0 + 10 Reorder the terms: -10 + 10 + 24t + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 24t + t2 = 0 + 10 24t + t2 = 0 + 10 Combine like terms: 0 + 10 = 10 24t + t2 = 10 The t term is 24t. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24t + 144 + t2 = 10 + 144 Reorder the terms: 144 + 24t + t2 = 10 + 144 Combine like terms: 10 + 144 = 154 144 + 24t + t2 = 154 Factor a perfect square on the left side: (t + 12)(t + 12) = 154 Calculate the square root of the right side: 12.409673646 Break this problem into two subproblems by setting (t + 12) equal to 12.409673646 and -12.409673646.Subproblem 1
t + 12 = 12.409673646 Simplifying t + 12 = 12.409673646 Reorder the terms: 12 + t = 12.409673646 Solving 12 + t = 12.409673646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + t = 12.409673646 + -12 Combine like terms: 12 + -12 = 0 0 + t = 12.409673646 + -12 t = 12.409673646 + -12 Combine like terms: 12.409673646 + -12 = 0.409673646 t = 0.409673646 Simplifying t = 0.409673646Subproblem 2
t + 12 = -12.409673646 Simplifying t + 12 = -12.409673646 Reorder the terms: 12 + t = -12.409673646 Solving 12 + t = -12.409673646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + t = -12.409673646 + -12 Combine like terms: 12 + -12 = 0 0 + t = -12.409673646 + -12 t = -12.409673646 + -12 Combine like terms: -12.409673646 + -12 = -24.409673646 t = -24.409673646 Simplifying t = -24.409673646Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.409673646, -24.409673646}Solution
t = {0.409673646, -24.409673646}
| -3.2=-0.8u+0.4u | | x+(x+8)+(x+12)=43 | | 790=b^2+25-300 | | 29-25xo=12 | | 17x+9=86+6x | | 8/5=4/k | | 1.8/6 | | -3x+8y=12 | | -15x-9=-30x+6 | | c=5(p-30)+370 | | 4/9=8/k | | (2-3y)3=24 | | -42/x-3=-7 | | 4c(-7c-3j)= | | 8x+18-7x=-5+(-10) | | 4x+x=1 | | H/9-19=-3 | | 15*b=23 | | 25+3*x=54 | | t+10-4t=-6 | | -5(2t+6)=0 | | 2.2/4=n/44 | | 7/x=11/6 | | 4/5=-1/2v-1/3 | | 8(2+3)=69(9-69) | | x^3+2x^2-5x+1=0 | | 2(3y+5)=3(5y+.33333333) | | -4.9x^2+20t-3x=0 | | 8x+18-7x=-5+(10) | | 5/3=2/r | | 4c(-7c-3)= | | 8(4-3f)=80 |