If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 640 = 490t2 + 1120t Reorder the terms: 640 = 1120t + 490t2 Solving 640 = 1120t + 490t2 Solving for variable 't'. Reorder the terms: 640 + -1120t + -490t2 = 1120t + -1120t + 490t2 + -490t2 Combine like terms: 1120t + -1120t = 0 640 + -1120t + -490t2 = 0 + 490t2 + -490t2 640 + -1120t + -490t2 = 490t2 + -490t2 Combine like terms: 490t2 + -490t2 = 0 640 + -1120t + -490t2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(64 + -112t + -49t2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(64 + -112t + -49t2)' equal to zero and attempt to solve: Simplifying 64 + -112t + -49t2 = 0 Solving 64 + -112t + -49t2 = 0 Begin completing the square. Divide all terms by -49 the coefficient of the squared term: Divide each side by '-49'. -1.306122449 + 2.285714286t + t2 = 0 Move the constant term to the right: Add '1.306122449' to each side of the equation. -1.306122449 + 2.285714286t + 1.306122449 + t2 = 0 + 1.306122449 Reorder the terms: -1.306122449 + 1.306122449 + 2.285714286t + t2 = 0 + 1.306122449 Combine like terms: -1.306122449 + 1.306122449 = 0.000000000 0.000000000 + 2.285714286t + t2 = 0 + 1.306122449 2.285714286t + t2 = 0 + 1.306122449 Combine like terms: 0 + 1.306122449 = 1.306122449 2.285714286t + t2 = 1.306122449 The t term is 2.285714286t. Take half its coefficient (1.142857143). Square it (1.306122449) and add it to both sides. Add '1.306122449' to each side of the equation. 2.285714286t + 1.306122449 + t2 = 1.306122449 + 1.306122449 Reorder the terms: 1.306122449 + 2.285714286t + t2 = 1.306122449 + 1.306122449 Combine like terms: 1.306122449 + 1.306122449 = 2.612244898 1.306122449 + 2.285714286t + t2 = 2.612244898 Factor a perfect square on the left side: (t + 1.142857143)(t + 1.142857143) = 2.612244898 Calculate the square root of the right side: 1.616244071 Break this problem into two subproblems by setting (t + 1.142857143) equal to 1.616244071 and -1.616244071.Subproblem 1
t + 1.142857143 = 1.616244071 Simplifying t + 1.142857143 = 1.616244071 Reorder the terms: 1.142857143 + t = 1.616244071 Solving 1.142857143 + t = 1.616244071 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.142857143' to each side of the equation. 1.142857143 + -1.142857143 + t = 1.616244071 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + t = 1.616244071 + -1.142857143 t = 1.616244071 + -1.142857143 Combine like terms: 1.616244071 + -1.142857143 = 0.473386928 t = 0.473386928 Simplifying t = 0.473386928Subproblem 2
t + 1.142857143 = -1.616244071 Simplifying t + 1.142857143 = -1.616244071 Reorder the terms: 1.142857143 + t = -1.616244071 Solving 1.142857143 + t = -1.616244071 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.142857143' to each side of the equation. 1.142857143 + -1.142857143 + t = -1.616244071 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + t = -1.616244071 + -1.142857143 t = -1.616244071 + -1.142857143 Combine like terms: -1.616244071 + -1.142857143 = -2.759101214 t = -2.759101214 Simplifying t = -2.759101214Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.473386928, -2.759101214}Solution
t = {0.473386928, -2.759101214}
| 4(3-7a)= | | 8.5a-5.6a= | | 2x-4(-2x-17)=18 | | 3x+6=3(x+5) | | x(7x+2)=2x^2-32x+48 | | F(x)=(4x+17) | | F(x)=4(x+7) | | 5x-28=12x | | 3-5n+2n=24-81 | | 3x-5(-1)=-2 | | 2y-20+y=22 | | 8.5a-6.5a= | | 2y-20+y=20 | | 2x-18y=11 | | 0.3x-1.1=3.1x+1.6 | | 4x+5(-2x+17)=13 | | 3x-5(-2)=-2 | | 14-4x=1-3(1+4x) | | 21-46=3(x+1)-4 | | X-66=15.7 | | 6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6= | | 12y+22-12y=12 | | 3x-5(1)=-2 | | m=4d+60 | | 6M+5m= | | 2x-4(-2x+17)=13 | | 2-3(-8v-6)=-124 | | 5b=160 | | 3(2)-5y=-2 | | 5t+30-3t=4 | | (-6)y+2=8 | | X-8y=-28 |