4x^2+4x-3=12-3x

Simple and best practice solution for 4x^2+4x-3=12-3x 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-3=12-3x equation: 


Simplifying
4x2 + 4x + -3 = 12 + -3x

Reorder the terms:
-3 + 4x + 4x2 = 12 + -3x

Solving
-3 + 4x + 4x2 = 12 + -3x

Solving for variable 'x'.

Reorder the terms:
-3 + -12 + 4x + 3x + 4x2 = 12 + -3x + -12 + 3x

Combine like terms: -3 + -12 = -15
-15 + 4x + 3x + 4x2 = 12 + -3x + -12 + 3x

Combine like terms: 4x + 3x = 7x
-15 + 7x + 4x2 = 12 + -3x + -12 + 3x

Reorder the terms:
-15 + 7x + 4x2 = 12 + -12 + -3x + 3x

Combine like terms: 12 + -12 = 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:

| x-9x-9=7x+3 | | 9x-3(3x-1)=2 | | -2x^2=-98 | | 4x+6=-4x-34 | | c=83t+9.50 | | (2x+1)2-2x=4 | | -145-3x=58-10x | | f(x)=4x^2+8x+1 | | -12=x+3-2k-3k | | -19-4x=-4(x+7)+3x | | 2y=3x+120 | | -6x+3=4+8x | | -4x-9=-2x-21 | | -73+6x=151-2x | | 2xsquared+4=22 | | 14x=x^3-5x^2 | | 5+3=-4(4x-2) | | 2y+3x=120 | | 8-6(3z-4)=5(-8z+9)+8 | | 7x-(4+2x)=31 | | 25=6+3x | | 6x-71=x+29 | | 8x-28=4x+64 | | -5=d | | 37+2r=5(r+8) | | e^1-3x=4 | | X^3=2x^2+15x | | -1/6(x-3)=1/9(x-3/8) | | 5x+7=26 | | t^2(t+7)(t+7)= | | (1-w)(4w+3)= | | 25x^2=15 |

Equations solver categories