-5+2x(x+4)=3+2x

Simple and best practice solution for -5+2x(x+4)=3+2x 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 -5+2x(x+4)=3+2x equation: 


Simplifying
-5 + 2x(x + 4) = 3 + 2x

Reorder the terms:
-5 + 2x(4 + x) = 3 + 2x
-5 + (4 * 2x + x * 2x) = 3 + 2x
-5 + (8x + 2x2) = 3 + 2x

Solving
-5 + 8x + 2x2 = 3 + 2x

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 8x + -2x + 2x2 = 3 + 2x + -3 + -2x

Combine like terms: -5 + -3 = -8
-8 + 8x + -2x + 2x2 = 3 + 2x + -3 + -2x

Combine like terms: 8x + -2x = 6x
-8 + 6x + 2x2 = 3 + 2x + -3 + -2x

Reorder the terms:
-8 + 6x + 2x2 = 3 + -3 + 2x + -2x

Combine like terms: 3 + -3 = 0
-8 + 6x + 2x2 = 0 + 2x + -2x
-8 + 6x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-4, 1}

See similar equations:

| 25+w+2=37 | | X+(2x)=12 | | -6(n-5)-8n=-2n-3(1+4n) | | 10x+5x+7-8=12x+3+2x | | -(-2x+3)=-(-5) | | x+5y=30 | | (3x+5)(4x-7)= | | x^2-5x+2=(x-3)(x-2) | | 13687+t=20441 | | y=7+4x | | 3(x+7)=2(2-7)+x | | x^2-12x-8=0 | | -6n-4n=5(-2+7n)+5(n+2) | | -3y+2x=14 | | 4x-3-8x+1=5x+9 | | 8(-2)+2y=6 | | y-x=-2 | | 15(n+2)=3(10+5n) | | -(1+n)=-4(n+4) | | 8(-2)+2(-3)=6 | | x=13+2x | | 5(2k-2)=5(k-6) | | 3(-2)+2(-3)=6 | | -y=-3x+9 | | -3(1-n)=-8-7(n+5) | | x+7=18-2x | | 3y+5=6y-22 | | 3x+4=x-6 | | 5(2x-7)-3x=7 | | 2y=5y-7 | | 20x-(-7x)+3x=90 | | 5x-3=13x+4 |

Equations solver categories