If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1203 = 35t2 + 740t Reorder the terms: -1203 = 740t + 35t2 Solving -1203 = 740t + 35t2 Solving for variable 't'. Reorder the terms: -1203 + -740t + -35t2 = 740t + -740t + 35t2 + -35t2 Combine like terms: 740t + -740t = 0 -1203 + -740t + -35t2 = 0 + 35t2 + -35t2 -1203 + -740t + -35t2 = 35t2 + -35t2 Combine like terms: 35t2 + -35t2 = 0 -1203 + -740t + -35t2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1203 + 740t + 35t2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1203 + 740t + 35t2)' equal to zero and attempt to solve: Simplifying 1203 + 740t + 35t2 = 0 Solving 1203 + 740t + 35t2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 34.37142857 + 21.14285714t + t2 = 0 Move the constant term to the right: Add '-34.37142857' to each side of the equation. 34.37142857 + 21.14285714t + -34.37142857 + t2 = 0 + -34.37142857 Reorder the terms: 34.37142857 + -34.37142857 + 21.14285714t + t2 = 0 + -34.37142857 Combine like terms: 34.37142857 + -34.37142857 = 0.00000000 0.00000000 + 21.14285714t + t2 = 0 + -34.37142857 21.14285714t + t2 = 0 + -34.37142857 Combine like terms: 0 + -34.37142857 = -34.37142857 21.14285714t + t2 = -34.37142857 The t term is 21.14285714t. Take half its coefficient (10.57142857). Square it (111.7551020) and add it to both sides. Add '111.7551020' to each side of the equation. 21.14285714t + 111.7551020 + t2 = -34.37142857 + 111.7551020 Reorder the terms: 111.7551020 + 21.14285714t + t2 = -34.37142857 + 111.7551020 Combine like terms: -34.37142857 + 111.7551020 = 77.38367343 111.7551020 + 21.14285714t + t2 = 77.38367343 Factor a perfect square on the left side: (t + 10.57142857)(t + 10.57142857) = 77.38367343 Calculate the square root of the right side: 8.796799045 Break this problem into two subproblems by setting (t + 10.57142857) equal to 8.796799045 and -8.796799045.Subproblem 1
t + 10.57142857 = 8.796799045 Simplifying t + 10.57142857 = 8.796799045 Reorder the terms: 10.57142857 + t = 8.796799045 Solving 10.57142857 + t = 8.796799045 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.57142857' to each side of the equation. 10.57142857 + -10.57142857 + t = 8.796799045 + -10.57142857 Combine like terms: 10.57142857 + -10.57142857 = 0.00000000 0.00000000 + t = 8.796799045 + -10.57142857 t = 8.796799045 + -10.57142857 Combine like terms: 8.796799045 + -10.57142857 = -1.774629525 t = -1.774629525 Simplifying t = -1.774629525Subproblem 2
t + 10.57142857 = -8.796799045 Simplifying t + 10.57142857 = -8.796799045 Reorder the terms: 10.57142857 + t = -8.796799045 Solving 10.57142857 + t = -8.796799045 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.57142857' to each side of the equation. 10.57142857 + -10.57142857 + t = -8.796799045 + -10.57142857 Combine like terms: 10.57142857 + -10.57142857 = 0.00000000 0.00000000 + t = -8.796799045 + -10.57142857 t = -8.796799045 + -10.57142857 Combine like terms: -8.796799045 + -10.57142857 = -19.368227615 t = -19.368227615 Simplifying t = -19.368227615Solution
The solution to the problem is based on the solutions from the subproblems. t = {-1.774629525, -19.368227615}Solution
t = {-1.774629525, -19.368227615}
| 6/7m=-24 | | 2/15w=1+1/12w | | 6(3x+7)-9(x+4)=6 | | 3a+24=5a-24 | | 2x-2(3x-2)=2x+16 | | 7b-28=89 | | 6a-30=3a+21 | | X^2+14-8=0 | | 23.04/5.76 | | 7/6x-9=0 | | 22/11*2 | | -4x+8=24 | | 3(x-2)+5=20 | | 4r-18=20+1/5r | | 4a+18=2a+26 | | 18-7(3x)=80 | | 17t+5(2+3t)=18 | | 3pq+4pq-2pq=10pq | | 52=7(3x) | | 3pq+4pq-2pq= | | 3/5x-1/4+14=7/10x | | x+y+28+65=900 | | 2.4x+2(3.1x-1.8)=3.6+2 | | -9+7x=12 | | 2x-4(7x+14)=74 | | 9+7x=-19 | | 12-6=2x-2+2x | | .20y-1=9 | | .35y-1=9 | | (5x-1)(5X-1)= | | .30y-1=9 | | -[-3(-2-m)-4]=-2[(-3-m)-2m] |