2y^2-y+53=(y+5)(y+5)

Simple and best practice solution for 2y^2-y+53=(y+5)(y+5) 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^2-y+53=(y+5)(y+5) equation: 


Simplifying
2y2 + -1y + 53 = (y + 5)(y + 5)

Reorder the terms:
53 + -1y + 2y2 = (y + 5)(y + 5)

Reorder the terms:
53 + -1y + 2y2 = (5 + y)(y + 5)

Reorder the terms:
53 + -1y + 2y2 = (5 + y)(5 + y)

Multiply (5 + y) * (5 + y)
53 + -1y + 2y2 = (5(5 + y) + y(5 + y))
53 + -1y + 2y2 = ((5 * 5 + y * 5) + y(5 + y))
53 + -1y + 2y2 = ((25 + 5y) + y(5 + y))
53 + -1y + 2y2 = (25 + 5y + (5 * y + y * y))
53 + -1y + 2y2 = (25 + 5y + (5y + y2))

Combine like terms: 5y + 5y = 10y
53 + -1y + 2y2 = (25 + 10y + y2)

Solving
53 + -1y + 2y2 = 25 + 10y + y2

Solving for variable 'y'.

Reorder the terms:
53 + -25 + -1y + -10y + 2y2 + -1y2 = 25 + 10y + y2 + -25 + -10y + -1y2

Combine like terms: 53 + -25 = 28
28 + -1y + -10y + 2y2 + -1y2 = 25 + 10y + y2 + -25 + -10y + -1y2

Combine like terms: -1y + -10y = -11y
28 + -11y + 2y2 + -1y2 = 25 + 10y + y2 + -25 + -10y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
28 + -11y + 1y2 = 25 + 10y + y2 + -25 + -10y + -1y2

Reorder the terms:
28 + -11y + 1y2 = 25 + -25 + 10y + -10y + y2 + -1y2

Combine like terms: 25 + -25 = 0
28 + -11y + 1y2 = 0 + 10y + -10y + y2 + -1y2
28 + -11y + 1y2 = 10y + -10y + y2 + -1y2

Combine like terms: 10y + -10y = 0
28 + -11y + 1y2 = 0 + y2 + -1y2
28 + -11y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
28 + -11y + 1y2 = 0

Factor a trinomial.
(4 + -1y)(7 + -1y) = 0


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

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {4, 7}

See similar equations:

| 7x-4y+12=0 | | 2(d-5)=18 | | 7(4y-9)= | | g^6+12g^3+36=0 | | 4a+27=9n-8 | | 2v^2+9v-10=(v+2)(v+2) | | 7c^2-21c+14=0 | | 4z-16=2+2 | | 2(w-20)=-16 | | 2x^2+23x+67=(x+7)(x+7) | | p^2-16pq+63q^2=0 | | 2x^2+23x+67=0 | | 3d+9e+7d+7e= | | 3x-2=7x-6 | | 3(2n-1)+7n= | | 7+2b=2(4b+7)+5 | | 3.(x+2)=15-2x | | 2a^2+15=11a | | -5k+24=49 | | 3(x+2)=15-2x | | sqrt(16x)-sqrt(9y)=1 | | 4x-6=x+7 | | 8h-15=1 | | 2016x^3-x^2+2x-3=0 | | -.5(32)*x^2+160x=336 | | 4r+10=22 | | 7=1-g/-2 | | 3x-15+4x=7 | | 5k^2-13k=-8 | | i*z+2*z+1-i=0 | | 9y^2+6y+4=0 | | 3(3c-1)-16=7c+3 |

Equations solver categories