(2y-15)=(3y+4y^2)

Simple and best practice solution for (2y-15)=(3y+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 (2y-15)=(3y+4y^2) equation: 


Simplifying
(2y + -15) = (3y + 4y2)

Reorder the terms:
(-15 + 2y) = (3y + 4y2)

Remove parenthesis around (-15 + 2y)
-15 + 2y = (3y + 4y2)

Remove parenthesis around (3y + 4y2)
-15 + 2y = 3y + 4y2

Solving
-15 + 2y = 3y + 4y2

Solving for variable 'y'.

Combine like terms: 2y + -3y = -1y
-15 + -1y + -4y2 = 3y + 4y2 + -3y + -4y2

Reorder the terms:
-15 + -1y + -4y2 = 3y + -3y + 4y2 + -4y2

Combine like terms: 3y + -3y = 0
-15 + -1y + -4y2 = 0 + 4y2 + -4y2
-15 + -1y + -4y2 = 4y2 + -4y2

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + y + 4y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15 + y + 4y2)' equal to zero and attempt to solve:

Simplifying
15 + y + 4y2 = 0

Solving
15 + y + 4y2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
3.75 + 0.25y + y2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 0.25y + -3.75 + y2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 0.25y + y2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 0.25y + y2 = 0 + -3.75
0.25y + y2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
0.25y + y2 = -3.75

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.25y + 0.25 + y2 = -3.75 + 0.25

Reorder the terms:
0.25 + 0.25y + y2 = -3.75 + 0.25

Combine like terms: -3.75 + 0.25 = -3.5
0.25 + 0.25y + y2 = -3.5

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| ax+b(x+60)=k | | 5p-7=-28 | | ax+bx-60b=0 | | (2x-3y)*(2x+3y)= | | (x^2+3x)=(x^2-xy) | | 14-0=-40 | | y(x+1)dx+(x+1)dy=0 | | 6m^2-23m+20= | | 20x^2+25x-1000=0 | | 56k-24=-4k-8 | | 8x+1=3x+7 | | 60k=32 | | Y=A+A*B | | Psquared-8p+16= | | 4x^3-108x=0 | | 60+8y=-4y | | y=cot(3x^2+5) | | y=cot(3x*2+5) | | x^4=x^10 | | 2c=5c-6 | | ln(x+7)+ln(x+8)=1 | | 12x^2-450000x=600000 | | 4x+8=-8x-16 | | -24+1.6g=5.6 | | -2x-6=-8x+30 | | 9x+3*0=-6 | | -2x+6=-8x+30 | | 2y-15=(3y+4y^2) | | 9*0+3y=-6 | | 7x=(7-7x) | | X=20-2x | | Y=41.25+0.25y |

Equations solver categories