If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10t2 + -0.25t4 = 36 Solving 10t2 + -0.25t4 = 36 Solving for variable 't'. Reorder the terms: -36 + 10t2 + -0.25t4 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 10t2 + -0.25t4 = 0 Begin completing the square. Divide all terms by -0.25 the coefficient of the squared term: Divide each side by '-0.25'. 144 + -40t2 + t4 = 0 Move the constant term to the right: Add '-144' to each side of the equation. 144 + -40t2 + -144 + t4 = 0 + -144 Reorder the terms: 144 + -144 + -40t2 + t4 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -40t2 + t4 = 0 + -144 -40t2 + t4 = 0 + -144 Combine like terms: 0 + -144 = -144 -40t2 + t4 = -144 The t term is -40t2. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40t2 + 400 + t4 = -144 + 400 Reorder the terms: 400 + -40t2 + t4 = -144 + 400 Combine like terms: -144 + 400 = 256 400 + -40t2 + t4 = 256 Factor a perfect square on the left side: (t2 + -20)(t2 + -20) = 256 Calculate the square root of the right side: 16 Break this problem into two subproblems by setting (t2 + -20) equal to 16 and -16.Subproblem 1
t2 + -20 = 16 Simplifying t2 + -20 = 16 Reorder the terms: -20 + t2 = 16 Solving -20 + t2 = 16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t2 = 16 + 20 Combine like terms: -20 + 20 = 0 0 + t2 = 16 + 20 t2 = 16 + 20 Combine like terms: 16 + 20 = 36 t2 = 36 Simplifying t2 = 36 Take the square root of each side: t = {-6, 6}Subproblem 2
t2 + -20 = -16 Simplifying t2 + -20 = -16 Reorder the terms: -20 + t2 = -16 Solving -20 + t2 = -16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t2 = -16 + 20 Combine like terms: -20 + 20 = 0 0 + t2 = -16 + 20 t2 = -16 + 20 Combine like terms: -16 + 20 = 4 t2 = 4 Simplifying t2 = 4 Take the square root of each side: t = {-2, 2}Solution
The solution to the problem is based on the solutions from the subproblems. t = {-6, 6, -2, 2}
| 3.3x=2.2x+7.7 | | 2x-5x-3=0 | | 3(6x-6)=16.36 | | 2(0.625-4x)=89.25 | | -2(-5x+9)=-18 | | 14-10x=79-45x | | -9(1-10n)-2(8n-3)+7= | | 7y-6=3y-12 | | 7x-(4x-10)-(x-2)= | | -7-2x=2x-15 | | 2(-3x+1)=62 | | 12x^2-19x+4=0 | | 78-2x=4x+12 | | 1x-3x+9=27 | | 64y^2-x^2=64 | | -6(7x+5)=-156 | | 2(1-4x)-2= | | 10b+8x-5b-4x= | | 3=-2x+4x+9 | | -34=-7x-x+6 | | -(3x-4x)+9(-3x+2)= | | 0.94y+1=y-0.8 | | 2(8-6x)=-128 | | Y^2+y-2=1 | | 4x+7=5.28 | | 2x+20=12x-90 | | z+4=-11 | | 4a^2-4a-15=0 | | 3x+5.5y=120 | | 2x+3y=z | | 7(5n-1)-2n= | | 4x+15=35 |