4x^2+4x-12=23-19x

Simple and best practice solution for 4x^2+4x-12=23-19x 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-12=23-19x equation: 


Simplifying
4x2 + 4x + -12 = 23 + -19x

Reorder the terms:
-12 + 4x + 4x2 = 23 + -19x

Solving
-12 + 4x + 4x2 = 23 + -19x

Solving for variable 'x'.

Reorder the terms:
-12 + -23 + 4x + 19x + 4x2 = 23 + -19x + -23 + 19x

Combine like terms: -12 + -23 = -35
-35 + 4x + 19x + 4x2 = 23 + -19x + -23 + 19x

Combine like terms: 4x + 19x = 23x
-35 + 23x + 4x2 = 23 + -19x + -23 + 19x

Reorder the terms:
-35 + 23x + 4x2 = 23 + -23 + -19x + 19x

Combine like terms: 23 + -23 = 0
-35 + 23x + 4x2 = 0 + -19x + 19x
-35 + 23x + 4x2 = -19x + 19x

Combine like terms: -19x + 19x = 0
-35 + 23x + 4x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -4x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 1.25}

See similar equations:

| 5x+10-3x=12 | | .67x-1=5 | | 3(x+5)+x=7 | | x^2-14x-32=0 | | (6e^3-e)-(e^3+7e-4)= | | 8(x-4)-2=6x+4 | | 24+8(z-3)=7z+1 | | x^2-22x+112=0 | | x^2+x=210 | | 7.3-0.2+1.3-0.6X=12-0.8X-3.6 | | 8a-3=13(a-2) | | -85+11x=-3x+125 | | -7x^3-7x+5x^5-4x^2+6X^4+10= | | 6(x+2)=10x-6 | | 9=2(4m-6) | | 12m-10=-4m+5 | | 3c-d=c-6d | | 4x^2-22x-42=0 | | 5.8x+62=8.3x+12 | | 24(x-1)=2(12x+3)-30 | | 4(s-8)=7(s-3)+4 | | 6x+20=11x-13 | | (2-x)=26-4x | | -16+t=3 | | 6x+2=11x-13 | | 4(4z)=-64 | | 4x^2+31x=-42 | | 2x+7-6x=7 | | 26x+9(x+1)=35(x+1)-26 | | -13n+18=-12n-17 | | x^2-4.5x-17.5=0 | | x^2-4.5x-15.5=0 |

Equations solver categories