-4x(x+3)+5=4x+12

Simple and best practice solution for -4x(x+3)+5=4x+12 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 -4x(x+3)+5=4x+12 equation: 


Simplifying
-4x(x + 3) + 5 = 4x + 12

Reorder the terms:
-4x(3 + x) + 5 = 4x + 12
(3 * -4x + x * -4x) + 5 = 4x + 12
(-12x + -4x2) + 5 = 4x + 12

Reorder the terms:
5 + -12x + -4x2 = 4x + 12

Reorder the terms:
5 + -12x + -4x2 = 12 + 4x

Solving
5 + -12x + -4x2 = 12 + 4x

Solving for variable 'x'.

Reorder the terms:
5 + -12 + -12x + -4x + -4x2 = 12 + 4x + -12 + -4x

Combine like terms: 5 + -12 = -7
-7 + -12x + -4x + -4x2 = 12 + 4x + -12 + -4x

Combine like terms: -12x + -4x = -16x
-7 + -16x + -4x2 = 12 + 4x + -12 + -4x

Reorder the terms:
-7 + -16x + -4x2 = 12 + -12 + 4x + -4x

Combine like terms: 12 + -12 = 0
-7 + -16x + -4x2 = 0 + 4x + -4x
-7 + -16x + -4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -16x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 16x + 4x2) = 0

Factor a trinomial.
-1((7 + 2x)(1 + 2x)) = 0

Ignore the factor -1.

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

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

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

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

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

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

Simplifying
x = -3.5

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-3.5, -0.5}

See similar equations:

| 5x-8=1.52 | | 11/8=1/5x+4/5 | | h=3+60t-16t^2 | | p^2+4p+q+13=0 | | (X-8)=13 | | 8x+11=1.52 | | (7n+8)(8n-3)= | | 4v-2=-8+4v | | 500=6x+2y | | 3w+9=7w-15 | | 3x+9=1.52 | | 5+91x=39x+13 | | -3x^2+35x-50=0 | | 2x+6=6(2x+1) | | -.33+x=-.75 | | 4x+4(4x-3)=4(6x+4)-4 | | 2(4x+3)=4(2x-2) | | (-5)(4x-2)+3x= | | -3(.16y)-18=72 | | 3/5+4=9/5 | | 9=50-2x | | 10k^2+2k=0 | | 3x-3=0.7 | | 34-2x=6-9x | | 9*5m=5+16m | | y=50-2(2) | | 2x-12=3x+4 | | -3x+1=9+x | | 2n+12+n=0 | | 2x+8=-16-2x | | y=50-2(.5) | | 3600=1.65x+2000 |

Equations solver categories