4t^2-9t+16=15-4t^2

Simple and best practice solution for 4t^2-9t+16=15-4t^2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4t^2-9t+16=15-4t^2 equation: 


Simplifying
4t2 + -9t + 16 = 15 + -4t2

Reorder the terms:
16 + -9t + 4t2 = 15 + -4t2

Solving
16 + -9t + 4t2 = 15 + -4t2

Solving for variable 't'.

Reorder the terms:
16 + -15 + -9t + 4t2 + 4t2 = 15 + -4t2 + -15 + 4t2

Combine like terms: 16 + -15 = 1
1 + -9t + 4t2 + 4t2 = 15 + -4t2 + -15 + 4t2

Combine like terms: 4t2 + 4t2 = 8t2
1 + -9t + 8t2 = 15 + -4t2 + -15 + 4t2

Reorder the terms:
1 + -9t + 8t2 = 15 + -15 + -4t2 + 4t2

Combine like terms: 15 + -15 = 0
1 + -9t + 8t2 = 0 + -4t2 + 4t2
1 + -9t + 8t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
1 + -9t + 8t2 = 0

Factor a trinomial.
(1 + -8t)(1 + -1t) = 0


Subproblem 1
Set the factor '(1 + -8t)' equal to zero and attempt to solve:

Simplifying
1 + -8t = 0

Solving
1 + -8t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -8t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8t = 0 + -1
-8t = 0 + -1

Combine like terms: 0 + -1 = -1
-8t = -1

Divide each side by '-8'.
t = 0.125

Simplifying
t = 0.125

Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1
Solution
t = {0.125, 1}

See similar equations:

| 400-3x=178 | | x^2-27= | | 4n+5n+15n=5n+7n | | 46*14= | | -2(4s-6)-12=-2(7s+6)-3 | | 97x-17(x+1)=45 | | (w+5)(w+2)=40 | | (w+5)(w+5)=40 | | 1.25x+0.125x=0.375+x | | 6x^5-36x^4+54x^3=0 | | -2p+8=5-(10p+6) | | 3x+5y=-24 | | 125-10x=0 | | 12d^2+3d^3= | | -2x+1=-9 | | 0.5x^2+2.5x+4.5=0 | | -2(2m-3)+5(m+7)=40 | | 3(2x-4)-(x-3)=7(x+2)-1 | | 5(3x-1)+12=4(2x+3)+9 | | x-8=-3x+8 | | 4-2.50x=21.50 | | 2(x-3)+3(x+2)=10 | | -63=-(18+9x) | | x+4/3-2=10 | | 6x-4(5x+9)=4(2x+3)+9 | | 5(3x-4)=-14-3(x-10) | | (8n-5)(n+4)=0 | | 4-2(2x-7)=-6 | | 6x^2+78x+252=0 | | 6x+1-3=12x-(8x-4) | | -56+-1x+x^2=0 | | 6y^2+29y=22 |

Equations solver categories