If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 162t = -16t2 + 162 Reorder the terms: 162t = 162 + -16t2 Solving 162t = 162 + -16t2 Solving for variable 't'. Reorder the terms: -162 + 162t + 16t2 = 162 + -16t2 + -162 + 16t2 Reorder the terms: -162 + 162t + 16t2 = 162 + -162 + -16t2 + 16t2 Combine like terms: 162 + -162 = 0 -162 + 162t + 16t2 = 0 + -16t2 + 16t2 -162 + 162t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -162 + 162t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-81 + 81t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-81 + 81t + 8t2)' equal to zero and attempt to solve: Simplifying -81 + 81t + 8t2 = 0 Solving -81 + 81t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -10.125 + 10.125t + t2 = 0 Move the constant term to the right: Add '10.125' to each side of the equation. -10.125 + 10.125t + 10.125 + t2 = 0 + 10.125 Reorder the terms: -10.125 + 10.125 + 10.125t + t2 = 0 + 10.125 Combine like terms: -10.125 + 10.125 = 0.000 0.000 + 10.125t + t2 = 0 + 10.125 10.125t + t2 = 0 + 10.125 Combine like terms: 0 + 10.125 = 10.125 10.125t + t2 = 10.125 The t term is 10.125t. Take half its coefficient (5.0625). Square it (25.62890625) and add it to both sides. Add '25.62890625' to each side of the equation. 10.125t + 25.62890625 + t2 = 10.125 + 25.62890625 Reorder the terms: 25.62890625 + 10.125t + t2 = 10.125 + 25.62890625 Combine like terms: 10.125 + 25.62890625 = 35.75390625 25.62890625 + 10.125t + t2 = 35.75390625 Factor a perfect square on the left side: (t + 5.0625)(t + 5.0625) = 35.75390625 Calculate the square root of the right side: 5.97945702 Break this problem into two subproblems by setting (t + 5.0625) equal to 5.97945702 and -5.97945702.Subproblem 1
t + 5.0625 = 5.97945702 Simplifying t + 5.0625 = 5.97945702 Reorder the terms: 5.0625 + t = 5.97945702 Solving 5.0625 + t = 5.97945702 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.0625' to each side of the equation. 5.0625 + -5.0625 + t = 5.97945702 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 0.0000 + t = 5.97945702 + -5.0625 t = 5.97945702 + -5.0625 Combine like terms: 5.97945702 + -5.0625 = 0.91695702 t = 0.91695702 Simplifying t = 0.91695702Subproblem 2
t + 5.0625 = -5.97945702 Simplifying t + 5.0625 = -5.97945702 Reorder the terms: 5.0625 + t = -5.97945702 Solving 5.0625 + t = -5.97945702 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.0625' to each side of the equation. 5.0625 + -5.0625 + t = -5.97945702 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 0.0000 + t = -5.97945702 + -5.0625 t = -5.97945702 + -5.0625 Combine like terms: -5.97945702 + -5.0625 = -11.04195702 t = -11.04195702 Simplifying t = -11.04195702Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.91695702, -11.04195702}Solution
t = {0.91695702, -11.04195702}
| -2x+18=8 | | f(x)=3x^4+2x^2-7x+5 | | 4k+8-9k+1=12k | | 5(t+2)-2=6+9 | | 6(3x-2)-8= | | (z^2)+6z=-8 | | 3+2=2 | | 4+5n=-11 | | 5x+28(x-2)=307 | | 6x^3-28x^2-10x=0 | | (a^(1/7))/(2a^(7/6))^-6 | | (2x+4)+(6x+6)+x=360 | | 2(x-2)+2(2)=-x(5) | | (3x-1)+(15x-17)=180 | | F(x)=9x-32 | | f(x)=x^5-3x^3-3 | | x^8=64x^6 | | -140=-4(-7x-7) | | (2x+3)+(x+5)+(3x+4)=360 | | y=15+3IN(7.2) | | (2x+3)+(x+5)+(3x+4)= | | 64xsquared=4 | | -3(x+2)+2x= | | ((a^(1/7))/(2a^(7/6)))^-6 | | sin-1*(17/28) | | 3x^2-84x+153=0 | | -8y+10(700-y)=7y | | 1.25m=43.25-7 | | y=90-72-25 | | 4/p=24.189/8.837 | | ((a^(1/9))/(4a^(9/2)))^-2 | | 90-5x+2=y |