3x^2+12x-10=5x-4

Simple and best practice solution for 3x^2+12x-10=5x-4 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 3x^2+12x-10=5x-4 equation: 


Simplifying
3x2 + 12x + -10 = 5x + -4

Reorder the terms:
-10 + 12x + 3x2 = 5x + -4

Reorder the terms:
-10 + 12x + 3x2 = -4 + 5x

Solving
-10 + 12x + 3x2 = -4 + 5x

Solving for variable 'x'.

Reorder the terms:
-10 + 4 + 12x + -5x + 3x2 = -4 + 5x + 4 + -5x

Combine like terms: -10 + 4 = -6
-6 + 12x + -5x + 3x2 = -4 + 5x + 4 + -5x

Combine like terms: 12x + -5x = 7x
-6 + 7x + 3x2 = -4 + 5x + 4 + -5x

Reorder the terms:
-6 + 7x + 3x2 = -4 + 4 + 5x + -5x

Combine like terms: -4 + 4 = 0
-6 + 7x + 3x2 = 0 + 5x + -5x
-6 + 7x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 7x + 3x2 = 0

Factor a trinomial.
(-3 + -1x)(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-3, 0.6666666667}

See similar equations:

| -4b-4(-6b-8)=172 | | 3(-4x+16)=36-12y | | 57=92-y | | 2x^2-13=9 | | -2(4+3x)-3=4x+9 | | 23a-19=-26 | | 2j-14=46 | | 5(2-2x)=90 | | 2x^2+12x+10=y | | 12a+14= | | ln(2x-2)-ln(x-3)=lnx | | (9+z)(5z-2)=0 | | 5(7-12x)=15-20y | | -2x^2+7x-33=0 | | x^4-4x^3-5x^2+38x-30=0 | | 54x^3=150x | | 8-[(-4)-5]= | | ln(x)-ln(x-8)=1 | | y=(x^2+4x-12)(x-3) | | 21+22y=-11 | | 5(13-16x)=-20y-75 | | 9x+5=5x+7 | | 3(x-6)=3-2(x+1) | | -7(6x-5)+5=-42x+40 | | ln(2x-2)-ln(x-2)=lnx | | 2e(3x+6)=12 | | 4x-7=5y-14 | | 10-45= | | 6(10x-9)=66+12y | | 0-31= | | 2x^2-158=42 | | 46+(-27)= |

Equations solver categories