If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 89 = 16t2 + 32t Reorder the terms: 89 = 32t + 16t2 Solving 89 = 32t + 16t2 Solving for variable 't'. Reorder the terms: 89 + -32t + -16t2 = 32t + -32t + 16t2 + -16t2 Combine like terms: 32t + -32t = 0 89 + -32t + -16t2 = 0 + 16t2 + -16t2 89 + -32t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 89 + -32t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -5.5625 + 2t + t2 = 0 Move the constant term to the right: Add '5.5625' to each side of the equation. -5.5625 + 2t + 5.5625 + t2 = 0 + 5.5625 Reorder the terms: -5.5625 + 5.5625 + 2t + t2 = 0 + 5.5625 Combine like terms: -5.5625 + 5.5625 = 0.0000 0.0000 + 2t + t2 = 0 + 5.5625 2t + t2 = 0 + 5.5625 Combine like terms: 0 + 5.5625 = 5.5625 2t + t2 = 5.5625 The t term is 2t. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2t + 1 + t2 = 5.5625 + 1 Reorder the terms: 1 + 2t + t2 = 5.5625 + 1 Combine like terms: 5.5625 + 1 = 6.5625 1 + 2t + t2 = 6.5625 Factor a perfect square on the left side: (t + 1)(t + 1) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (t + 1) equal to 2.561737691 and -2.561737691.Subproblem 1
t + 1 = 2.561737691 Simplifying t + 1 = 2.561737691 Reorder the terms: 1 + t = 2.561737691 Solving 1 + t = 2.561737691 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 2.561737691 + -1 Combine like terms: 1 + -1 = 0 0 + t = 2.561737691 + -1 t = 2.561737691 + -1 Combine like terms: 2.561737691 + -1 = 1.561737691 t = 1.561737691 Simplifying t = 1.561737691Subproblem 2
t + 1 = -2.561737691 Simplifying t + 1 = -2.561737691 Reorder the terms: 1 + t = -2.561737691 Solving 1 + t = -2.561737691 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = -2.561737691 + -1 Combine like terms: 1 + -1 = 0 0 + t = -2.561737691 + -1 t = -2.561737691 + -1 Combine like terms: -2.561737691 + -1 = -3.561737691 t = -3.561737691 Simplifying t = -3.561737691Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.561737691, -3.561737691}
| 0.5(6+2c)=6 | | -2(x+3)2+50=0 | | Cos(2x)=0.2 | | 6(x+2)=-3(2x+4) | | Y=kx^2 | | (x+8)2-100=0 | | x+17=10-2 | | 0.5x+0.3=0.8 | | 6.525*x=0.201 | | Lgx-2xlgy=3 | | 3x+15-2x-20= | | 4+(x+9y)i=x+13i | | 0.5x^2+0.875x-0.25=0 | | 10-40x= | | Y=.50X+3 | | y=.50x+b | | 6r(4r+5)= | | 5*0+8*0=0 | | 16x+115=7+4x | | x/5=40/12 | | 2z+6-8=-18 | | 9x^3*(-2x)= | | X^4-67X^2=0 | | -0.5(g)t^2+(v)t+h=h | | 3y=0.8x+2.4 | | (12e^2x(y^2)-y)dx=dy | | 4y+8=5y-9 | | -8x+5y=29 | | 3*(-4-9y)+12y=3 | | v=12-2t | | (3t)(3t)=12 | | 3x-1x+(1y-3y)=33 |