(x+10)(2x+1)=6(x+1)+4

Simple and best practice solution for (x+10)(2x+1)=6(x+1)+4 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 (x+10)(2x+1)=6(x+1)+4 equation:


Simplifying
(x + 10)(2x + 1) = 6(x + 1) + 4

Reorder the terms:
(10 + x)(2x + 1) = 6(x + 1) + 4

Reorder the terms:
(10 + x)(1 + 2x) = 6(x + 1) + 4

Multiply (10 + x) * (1 + 2x)
(10(1 + 2x) + x(1 + 2x)) = 6(x + 1) + 4
((1 * 10 + 2x * 10) + x(1 + 2x)) = 6(x + 1) + 4
((10 + 20x) + x(1 + 2x)) = 6(x + 1) + 4
(10 + 20x + (1 * x + 2x * x)) = 6(x + 1) + 4
(10 + 20x + (1x + 2x2)) = 6(x + 1) + 4

Combine like terms: 20x + 1x = 21x
(10 + 21x + 2x2) = 6(x + 1) + 4

Reorder the terms:
10 + 21x + 2x2 = 6(1 + x) + 4
10 + 21x + 2x2 = (1 * 6 + x * 6) + 4
10 + 21x + 2x2 = (6 + 6x) + 4

Reorder the terms:
10 + 21x + 2x2 = 6 + 4 + 6x

Combine like terms: 6 + 4 = 10
10 + 21x + 2x2 = 10 + 6x

Add '-10' to each side of the equation.
10 + 21x + -10 + 2x2 = 10 + -10 + 6x

Reorder the terms:
10 + -10 + 21x + 2x2 = 10 + -10 + 6x

Combine like terms: 10 + -10 = 0
0 + 21x + 2x2 = 10 + -10 + 6x
21x + 2x2 = 10 + -10 + 6x

Combine like terms: 10 + -10 = 0
21x + 2x2 = 0 + 6x
21x + 2x2 = 6x

Solving
21x + 2x2 = 6x

Solving for variable 'x'.

Reorder the terms:
21x + -6x + 2x2 = 6x + -6x

Combine like terms: 21x + -6x = 15x
15x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
15x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0, -7.5}

See similar equations:

| .75t+.125=.75t+8 | | 6(4+6v)=5(5v+7) | | -5x+6x-2x=0 | | 131-6x=21x+17 | | x√3=2√6+1 | | 5q+3=3q+1 | | 7y-2(y-1)=8y-(4y+12) | | 36.79+0.50m=90 | | (3+8)(4+2x)=10-1.5(x+4) | | 11m-23=m+5 | | 6x-3+10x-35=90 | | -4+(-4)+(-4)= | | 3x-7+x=9+4x | | 36.50+0.20m=120 | | 17m=12 | | 30x+4+5x+1=180 | | 2-(x+8)=3*(2*x+5) | | 5(x-3)+4(x+3)=3(c-1) | | X^2+4x-336=0 | | x^2-3x+3=1 | | 5x+2+2x+4=90 | | 8(x+1)-3(x-4)=7(2-x) | | -3(8p+3)-2(2-17p)=3(9+3p) | | 18+6x=4x | | 2x-5*(6-2x)-8+(x-1)=0 | | 5x-11=6-16x | | 3(5+4)=x | | 3(z+2)=9 | | 2(x+1)+3=3(x-1) | | ln(x)+ln(x-2)=3 | | 5m-2m=28 | | 8d+d+3d+6=5d |

Equations solver categories