4x^2+7x-8=12-4x

Simple and best practice solution for 4x^2+7x-8=12-4x 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+7x-8=12-4x equation: 


Simplifying
4x2 + 7x + -8 = 12 + -4x

Reorder the terms:
-8 + 7x + 4x2 = 12 + -4x

Solving
-8 + 7x + 4x2 = 12 + -4x

Solving for variable 'x'.

Reorder the terms:
-8 + -12 + 7x + 4x + 4x2 = 12 + -4x + -12 + 4x

Combine like terms: -8 + -12 = -20
-20 + 7x + 4x + 4x2 = 12 + -4x + -12 + 4x

Combine like terms: 7x + 4x = 11x
-20 + 11x + 4x2 = 12 + -4x + -12 + 4x

Reorder the terms:
-20 + 11x + 4x2 = 12 + -12 + -4x + 4x

Combine like terms: 12 + -12 = 0
-20 + 11x + 4x2 = 0 + -4x + 4x
-20 + 11x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 11x + 4x2 = 0

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


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 '(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 = {-4, 1.25}

See similar equations:

| 1-14y+49y^2=0 | | w+2w-3= | | x^4=.000006363 | | -3r^4s^6(9s^2-8r+7)=0 | | sen(5x)+sen(3x)=3cos(2x) | | x(x-7)(x+4)=0 | | 32^4/5=0 | | 12d+12= | | 8senx-4sen^2x=3 | | 28v^6-36v^5/4v^2 | | 4q-15=6-1 | | X+8=-2x+1 | | 35=8x+3 | | sen(5x)-sen(3x)=3cos(2x) | | 24x2/3= | | 4/9x-1=1/2 | | 3x-3(3x-2)=2(4-x)+3 | | 4xy+2xy-5x+3x= | | 3+4=36 | | ((6x^2)+(8x))(16x)=0 | | 3x+18=-1712x | | 4k+2k-3k= | | Y=40+-4x | | z+2z=4+3i+2+8i | | 4m-2=-10 | | -12x+3=42 | | 2xy+4xy-5x+3x= | | -6a+24=-8(2a+7) | | y+3=-0.25 | | x^4=.000256 | | y^2+4y+60=0 | | n(1.86)=56.73 |

Equations solver categories