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

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


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

Reorder the terms:
3g(-4 + g) + -2g(g + -7) = g(g + -6) + -28
(-4 * 3g + g * 3g) + -2g(g + -7) = g(g + -6) + -28
(-12g + 3g2) + -2g(g + -7) = g(g + -6) + -28

Reorder the terms:
-12g + 3g2 + -2g(-7 + g) = g(g + -6) + -28
-12g + 3g2 + (-7 * -2g + g * -2g) = g(g + -6) + -28
-12g + 3g2 + (14g + -2g2) = g(g + -6) + -28

Reorder the terms:
-12g + 14g + 3g2 + -2g2 = g(g + -6) + -28

Combine like terms: -12g + 14g = 2g
2g + 3g2 + -2g2 = g(g + -6) + -28

Combine like terms: 3g2 + -2g2 = 1g2
2g + 1g2 = g(g + -6) + -28

Reorder the terms:
2g + 1g2 = g(-6 + g) + -28
2g + 1g2 = (-6 * g + g * g) + -28
2g + 1g2 = (-6g + g2) + -28

Reorder the terms:
2g + 1g2 = -28 + -6g + g2

Solving
2g + 1g2 = -28 + -6g + g2

Solving for variable 'g'.

Reorder the terms:
28 + 2g + 6g + 1g2 + -1g2 = -28 + -6g + g2 + 28 + 6g + -1g2

Combine like terms: 2g + 6g = 8g
28 + 8g + 1g2 + -1g2 = -28 + -6g + g2 + 28 + 6g + -1g2

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 2g) = 0

Ignore the factor 4.

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

Simplifying
7 + 2g = 0

Solving
7 + 2g = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2g = 0 + -7
2g = 0 + -7

Combine like terms: 0 + -7 = -7
2g = -7

Divide each side by '2'.
g = -3.5

Simplifying
g = -3.5
Solution
g = {-3.5}

See similar equations:

| 9=-1/4w | | 15=7x-2 | | 46=10d+16 | | l+5=78 | | .3x-2.7=9 | | 63c^2-7=0 | | -63=824 | | 5lxw=78 | | -3(3p+3)-2(3-14p)=3(8+6p) | | 1=-39h+462 | | .6x+8=20 | | 200.7=32.7n+37.2 | | 1/2(12)(6)(sin57) | | 6=2y+41+3y | | 19p-15=24+18p | | (19m)-m= | | 813=0.6d+795 | | 51=14x+2x^2 | | 773.3=12t+53.3 | | 6u-15u-19=-91 | | 94=7m+3 | | 3/8y-9=-6 | | 4x+6=6x-44 | | 6a^2+3a-55=0 | | 10=5/9u | | 3n=144 | | 2j^2+4j^2k= | | 17=m+13 | | 1/4=2/5*x | | 18=-12h+54 | | 6x+9y=6 | | (y+11)(y+4)=198 |

Equations solver categories