If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5t2 + 3t = 64 Reorder the terms: 3t + 5t2 = 64 Solving 3t + 5t2 = 64 Solving for variable 't'. Reorder the terms: -64 + 3t + 5t2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 3t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -12.8 + 0.6t + t2 = 0 Move the constant term to the right: Add '12.8' to each side of the equation. -12.8 + 0.6t + 12.8 + t2 = 0 + 12.8 Reorder the terms: -12.8 + 12.8 + 0.6t + t2 = 0 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + 0.6t + t2 = 0 + 12.8 0.6t + t2 = 0 + 12.8 Combine like terms: 0 + 12.8 = 12.8 0.6t + t2 = 12.8 The t term is 0.6t. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6t + 0.09 + t2 = 12.8 + 0.09 Reorder the terms: 0.09 + 0.6t + t2 = 12.8 + 0.09 Combine like terms: 12.8 + 0.09 = 12.89 0.09 + 0.6t + t2 = 12.89 Factor a perfect square on the left side: (t + 0.3)(t + 0.3) = 12.89 Calculate the square root of the right side: 3.590264614 Break this problem into two subproblems by setting (t + 0.3) equal to 3.590264614 and -3.590264614.Subproblem 1
t + 0.3 = 3.590264614 Simplifying t + 0.3 = 3.590264614 Reorder the terms: 0.3 + t = 3.590264614 Solving 0.3 + t = 3.590264614 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + t = 3.590264614 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + t = 3.590264614 + -0.3 t = 3.590264614 + -0.3 Combine like terms: 3.590264614 + -0.3 = 3.290264614 t = 3.290264614 Simplifying t = 3.290264614Subproblem 2
t + 0.3 = -3.590264614 Simplifying t + 0.3 = -3.590264614 Reorder the terms: 0.3 + t = -3.590264614 Solving 0.3 + t = -3.590264614 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + t = -3.590264614 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + t = -3.590264614 + -0.3 t = -3.590264614 + -0.3 Combine like terms: -3.590264614 + -0.3 = -3.890264614 t = -3.890264614 Simplifying t = -3.890264614Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.290264614, -3.890264614}
| -3*-3-16= | | (x-4)(y-4)=160 | | Y(y-13)=-42 | | 3w^2-7w=66 | | x^2=19x-90 | | (2y-3)(5-y)=0 | | ln(x+4)+ln(x-2)=5 | | 10x-22=2(5x-8) | | 0.055(x+1000)=0.08x+0.03(1000) | | (y-9)-(y+6)=6y | | (v-4)(v+1)=0 | | 7/9=?/108 | | (5u-8)(6-u)=0 | | 25=0.05x^2+27 | | 3(x-1)=2(5+2x) | | 4(5-1)=14(-1)+3 | | (X+2)(x-5)(3x-2)=0 | | 7x^2+3x-k=0 | | 5/7×-5=15 | | 3(2x-3)-4=3(x-5)+26 | | x+x^2+7x+7x+49-x^2+9x+9x+81=0 | | 8(x+1)=(x-2) | | 5r^3+25r^2=70r | | 90/72 | | $90/$72 | | 2+7x+7x+49-x^2+9x+9x+81=0 | | 3/4=1/2x-7 | | 3/4=1/2-7 | | (21-3)/(12-3) | | 2y^2-y^2-10y+6y-3-9=0 | | 14(y+2)=2(6y+7) | | 2y^2-y^2-12y+10y+17-25=0 |