2x(x+1)=6(x-3)

Simple and best practice solution for 2x(x+1)=6(x-3) 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 2x(x+1)=6(x-3) equation: 


Simplifying
2x(x + 1) = 6(x + -3)

Reorder the terms:
2x(1 + x) = 6(x + -3)
(1 * 2x + x * 2x) = 6(x + -3)
(2x + 2x2) = 6(x + -3)

Reorder the terms:
2x + 2x2 = 6(-3 + x)
2x + 2x2 = (-3 * 6 + x * 6)
2x + 2x2 = (-18 + 6x)

Solving
2x + 2x2 = -18 + 6x

Solving for variable 'x'.

Reorder the terms:
18 + 2x + -6x + 2x2 = -18 + 6x + 18 + -6x

Combine like terms: 2x + -6x = -4x
18 + -4x + 2x2 = -18 + 6x + 18 + -6x

Reorder the terms:
18 + -4x + 2x2 = -18 + 18 + 6x + -6x

Combine like terms: -18 + 18 = 0
18 + -4x + 2x2 = 0 + 6x + -6x
18 + -4x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
9 + -2x + x2 = 0

Solving
9 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -2x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x + x2 = 0 + -9
-2x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x + x2 = -9

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -9 + 1

Reorder the terms:
1 + -2x + x2 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + -2x + x2 = -8

Factor a perfect square on the left side:
(x + -1)(x + -1) = -8

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:

| -2c-5=1 | | -y-11=-25 | | 10=6+2c | | -15=3y+12 | | 2+5a=-2 | | 19+3x=-8 | | 3a-17=-9 | | 3x+7=4a+6 | | -3y+7=-8 | | -7=-x+4 | | 4(7-x)=5x+2 | | 4x+80=100 | | -y-4=-15 | | 16-2e=-4e-5-e | | 2(x+8)=-2x+16 | | 3(x+4)=11x | | 3r+3=r-3 | | 6r+r+7r= | | 3i-4=5i+8 | | -7n-5+2n=5(n+1) | | 3k+7=-k-9 | | u-3-2u=u+13 | | 108-6x=30x+24 | | q-5-(-2)=7-q | | 7-8x=41-22x | | -2v-48-v=2+2v | | 5x+5=-70-10x | | 112-5x=3x+16 | | m-4m+10=2m-5 | | 2p+6=-9-p | | x-(-21)=9 | | 3s-2=2s-1 |

Equations solver categories