3g(4g)-2g(g-7)=g(g+6)-28

Simple and best practice solution for 3g(4g)-2g(g-7)=g(g+6)-28 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 3g(4g)-2g(g-7)=g(g+6)-28 equation: 


Simplifying
3g(4g) + -2g(g + -7) = g(g + 6) + -28

Remove parenthesis around (4g)
3g * 4g + -2g(g + -7) = g(g + 6) + -28

Reorder the terms for easier multiplication:
3 * 4g * g + -2g(g + -7) = g(g + 6) + -28

Multiply 3 * 4
12g * g + -2g(g + -7) = g(g + 6) + -28

Multiply g * g
12g2 + -2g(g + -7) = g(g + 6) + -28

Reorder the terms:
12g2 + -2g(-7 + g) = g(g + 6) + -28
12g2 + (-7 * -2g + g * -2g) = g(g + 6) + -28
12g2 + (14g + -2g2) = g(g + 6) + -28

Reorder the terms:
14g + 12g2 + -2g2 = g(g + 6) + -28

Combine like terms: 12g2 + -2g2 = 10g2
14g + 10g2 = g(g + 6) + -28

Reorder the terms:
14g + 10g2 = g(6 + g) + -28
14g + 10g2 = (6 * g + g * g) + -28
14g + 10g2 = (6g + g2) + -28

Reorder the terms:
14g + 10g2 = -28 + 6g + g2

Solving
14g + 10g2 = -28 + 6g + g2

Solving for variable 'g'.

Reorder the terms:
28 + 14g + -6g + 10g2 + -1g2 = -28 + 6g + g2 + 28 + -6g + -1g2

Combine like terms: 14g + -6g = 8g
28 + 8g + 10g2 + -1g2 = -28 + 6g + g2 + 28 + -6g + -1g2

Combine like terms: 10g2 + -1g2 = 9g2
28 + 8g + 9g2 = -28 + 6g + g2 + 28 + -6g + -1g2

Reorder the terms:
28 + 8g + 9g2 = -28 + 28 + 6g + -6g + g2 + -1g2

Combine like terms: -28 + 28 = 0
28 + 8g + 9g2 = 0 + 6g + -6g + g2 + -1g2
28 + 8g + 9g2 = 6g + -6g + g2 + -1g2

Combine like terms: 6g + -6g = 0
28 + 8g + 9g2 = 0 + g2 + -1g2
28 + 8g + 9g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
28 + 8g + 9g2 = 0

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

Divide each side by '9'.
3.111111111 + 0.8888888889g + g2 = 0

Move the constant term to the right:

Add '-3.111111111' to each side of the equation.
3.111111111 + 0.8888888889g + -3.111111111 + g2 = 0 + -3.111111111

Reorder the terms:
3.111111111 + -3.111111111 + 0.8888888889g + g2 = 0 + -3.111111111

Combine like terms: 3.111111111 + -3.111111111 = 0.000000000
0.000000000 + 0.8888888889g + g2 = 0 + -3.111111111
0.8888888889g + g2 = 0 + -3.111111111

Combine like terms: 0 + -3.111111111 = -3.111111111
0.8888888889g + g2 = -3.111111111

The g term is 0.8888888889g.  Take half its coefficient (0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
0.8888888889g + 0.1975308642 + g2 = -3.111111111 + 0.1975308642

Reorder the terms:
0.1975308642 + 0.8888888889g + g2 = -3.111111111 + 0.1975308642

Combine like terms: -3.111111111 + 0.1975308642 = -2.9135802468
0.1975308642 + 0.8888888889g + g2 = -2.9135802468

Factor a perfect square on the left side:
(g + 0.4444444445)(g + 0.4444444445) = -2.9135802468

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 24k^2+24k+144=144 | | 5(4x-5)(7x+5)=0 | | 1/6 | | -12-5k=3(2+4k) | | -2(16)= | | 2x+12(8x-2)=180 | | 3(x+0.8)= | | 649xb=497340174gfb | | 0.75(p+12)=0.5(p-6) | | 9+b=16 | | 6(3x-4)(3x+4)=0 | | 5x+20y=445 | | 8x(y+12)=100 | | 50h^4-32h^2=0 | | 4m=84 | | 2x-7=5x-22 | | 8x-x=16 | | 3(x+10)+(110-2x)=90 | | 2x-2+6x+4+4x-14=180 | | 6a/A=21 | | 3(x+10)+(110-2x)=360 | | 3(x+10)+(110-2x)=180 | | 2/5=6 | | 5y-(y+2)=38 | | 5-n=8n | | (3x+7)=157 | | -2-r=-6 | | x^4-50x^2+625=0 | | 2x+5=0.5x-1 | | 4ln(2x-5)=20 | | Z+(5+3)=50 | | 6x=8-y |

Equations solver categories