4x^2+4x-4=11-3x

Simple and best practice solution for 4x^2+4x-4=11-3x 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^2+4x-4=11-3x equation: 


Simplifying
4x2 + 4x + -4 = 11 + -3x

Reorder the terms:
-4 + 4x + 4x2 = 11 + -3x

Solving
-4 + 4x + 4x2 = 11 + -3x

Solving for variable 'x'.

Reorder the terms:
-4 + -11 + 4x + 3x + 4x2 = 11 + -3x + -11 + 3x

Combine like terms: -4 + -11 = -15
-15 + 4x + 3x + 4x2 = 11 + -3x + -11 + 3x

Combine like terms: 4x + 3x = 7x
-15 + 7x + 4x2 = 11 + -3x + -11 + 3x

Reorder the terms:
-15 + 7x + 4x2 = 11 + -11 + -3x + 3x

Combine like terms: 11 + -11 = 0
-15 + 7x + 4x2 = 0 + -3x + 3x
-15 + 7x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 7x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-3, 1.25}

See similar equations:

| D/14-1/2=1/4 | | 76/100 | | 3*7/3 | | (12-7c)(-4)=39 | | (12-7c)(-4)=12 | | (12-7c)(-4)=29 | | (12-7c)(-4)=30 | | (12-7c)(-4)=20 | | (12-7c)(-4)=10 | | (12-7c)(-4)=9 | | (11-2x)/(1-4x)=1.2 | | (12-7c)(-4)=5 | | 8x+1=-1+9x | | (11-2x)/(1-4x=1.2 | | (9x^2+4x+5)+(3x^2+2)= | | 2(5+3)=4 | | x+0.15(x)=375 | | Ax+y=3 | | 8(10+20c)=400 | | -21=3+4w | | (3x^2-3x+11)-(x-8)= | | (x)0.15=375 | | -6(10.95)=9 | | 0.15=375/x | | 1(c+19)+(10c+3)=143 | | 1(c+19)+(10c+3)=7 | | 3(2x-3)+4x=10 | | 1(c+19)+(10c+3)=1 | | 3(x+5)(x+5)-10(x+5)-8=0 | | 9(3-4c)+1=9(4c-2)+3 | | 17=-5(3+w) | | 36=2v+12 |

Equations solver categories