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

Simple and best practice solution for 4y^2-9y+16=15-4y^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 4y^2-9y+16=15-4y^2 equation: 


Simplifying
4y2 + -9y + 16 = 15 + -4y2

Reorder the terms:
16 + -9y + 4y2 = 15 + -4y2

Solving
16 + -9y + 4y2 = 15 + -4y2

Solving for variable 'y'.

Reorder the terms:
16 + -15 + -9y + 4y2 + 4y2 = 15 + -4y2 + -15 + 4y2

Combine like terms: 16 + -15 = 1
1 + -9y + 4y2 + 4y2 = 15 + -4y2 + -15 + 4y2

Combine like terms: 4y2 + 4y2 = 8y2
1 + -9y + 8y2 = 15 + -4y2 + -15 + 4y2

Reorder the terms:
1 + -9y + 8y2 = 15 + -15 + -4y2 + 4y2

Combine like terms: 15 + -15 = 0
1 + -9y + 8y2 = 0 + -4y2 + 4y2
1 + -9y + 8y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
1 + -9y + 8y2 = 0

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


Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8y = 0 + -1

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

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

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125

Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

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

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

Divide each side by '-1'.
y = 1

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

See similar equations:

| 4-2x=-5+10 | | 6.05+0.20(m-1)= | | -7n+15n=-17+15 | | 0.008a+.12=1 | | 3x+1.6=8.5 | | 9x+2=-6 | | (x^2+i^2y^2)=3-4i | | 6x+30=11x-30 | | x+y=1250 | | graphy=-3x+5 | | -42=-12t | | 3x-(7-4x)=2(2x+5)-6 | | 8x+3y=74 | | -4(30+5y)+7y=-29 | | 4(y+2)=-2y-16 | | 3.2+x=0.8 | | 5+9=x-2 | | 5x-6=4x+18 | | 9x+4(x+1)=13(x+1)-9 | | 8v^2+64v=0 | | (3x+8)=24 | | x^4-16x^2+55=0 | | 2cosx+secx+3=0 | | (3u+7u)(6u-5w+7)= | | -2(4x-3)=3(5x-1)+9 | | 45=4y-5x | | x+5+x+4+5=180 | | (3x+22)+(2x+8)=180 | | 7x^2+2=13 | | ln(2x-1)+ln(x+4)=ln(x-2) | | -2(3x+40)=20 | | c^2+10c=-24 |

Equations solver categories