w^2-14w+28=2w^2-6w+64

Simple and best practice solution for w^2-14w+28=2w^2-6w+64 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 w^2-14w+28=2w^2-6w+64 equation: 


Simplifying
w2 + -14w + 28 = 2w2 + -6w + 64

Reorder the terms:
28 + -14w + w2 = 2w2 + -6w + 64

Reorder the terms:
28 + -14w + w2 = 64 + -6w + 2w2

Solving
28 + -14w + w2 = 64 + -6w + 2w2

Solving for variable 'w'.

Reorder the terms:
28 + -64 + -14w + 6w + w2 + -2w2 = 64 + -6w + 2w2 + -64 + 6w + -2w2

Combine like terms: 28 + -64 = -36
-36 + -14w + 6w + w2 + -2w2 = 64 + -6w + 2w2 + -64 + 6w + -2w2

Combine like terms: -14w + 6w = -8w
-36 + -8w + w2 + -2w2 = 64 + -6w + 2w2 + -64 + 6w + -2w2

Combine like terms: w2 + -2w2 = -1w2
-36 + -8w + -1w2 = 64 + -6w + 2w2 + -64 + 6w + -2w2

Reorder the terms:
-36 + -8w + -1w2 = 64 + -64 + -6w + 6w + 2w2 + -2w2

Combine like terms: 64 + -64 = 0
-36 + -8w + -1w2 = 0 + -6w + 6w + 2w2 + -2w2
-36 + -8w + -1w2 = -6w + 6w + 2w2 + -2w2

Combine like terms: -6w + 6w = 0
-36 + -8w + -1w2 = 0 + 2w2 + -2w2
-36 + -8w + -1w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
-36 + -8w + -1w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 8w + w2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(36 + 8w + w2)' equal to zero and attempt to solve:

Simplifying
36 + 8w + w2 = 0

Solving
36 + 8w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 8w + -36 + w2 = 0 + -36

Reorder the terms:
36 + -36 + 8w + w2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 8w + w2 = 0 + -36
8w + w2 = 0 + -36

Combine like terms: 0 + -36 = -36
8w + w2 = -36

The w term is 8w.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8w + 16 + w2 = -36 + 16

Reorder the terms:
16 + 8w + w2 = -36 + 16

Combine like terms: -36 + 16 = -20
16 + 8w + w2 = -20

Factor a perfect square on the left side:
(w + 4)(w + 4) = -20

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:

| w^2-14w+28=2w^2-6w+64 | | w^2-14w+28=2w^2-6w+64 | | 3(2x+11)=5x+23 | | (-4x+2)(6x-6)= | | log[7](x-8)+log[7](x-2)-log[7]x=1 | | 8y^2=15y | | 1/5(10x-25) | | 3x-18+x+12=90 | | 46b^2-23b= | | R-62=-341 | | 2(x-2)+2(x+4)=x+3+x+4+x+5 | | 5n^2+19n-2=68 | | 8x-2=12+a | | 1.3b-.7b=12 | | r-20=40 | | 6x+20=10x-20 | | 12wxy/32xy | | 2x-36+7x=9 | | 2x^2+14x=4 | | 5x+18=5x | | 27j-6=-14j+7 | | 2x+24+x+8+x+28=180 | | -37=x+85 | | w^2=2w^2+8w+36 | | 1.6-16.2= | | 42=p+[-25] | | -540+13.50d=4158 | | 0.3(3z+7)+7.9=0.4(3z-5) | | 9x+y=-23 | | B+58=-110 | | -540+13.50d=4185 | | 2x-6=118 |

Equations solver categories