2x^2-12x-14=306

Simple and best practice solution for 2x^2-12x-14=306 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 2x^2-12x-14=306 equation: 


Simplifying
2x2 + -12x + -14 = 306

Reorder the terms:
-14 + -12x + 2x2 = 306

Solving
-14 + -12x + 2x2 = 306

Solving for variable 'x'.

Reorder the terms:
-14 + -306 + -12x + 2x2 = 306 + -306

Combine like terms: -14 + -306 = -320
-320 + -12x + 2x2 = 306 + -306

Combine like terms: 306 + -306 = 0
-320 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-160 + -6x + x2) = 0

Factor a trinomial.
2((-10 + -1x)(16 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-10, 16}

See similar equations:

| 3(2x+5)=17 | | -5x+8=8-4x | | 5(5-2x-2x)+2(9x+9)=27 | | 8t^2=12+20t | | 3m+1=100 | | 8(X-3)+1=-2(X+4)+4 | | 6x-2x+7-12+13-x=70 | | 6b-8=5b | | 3(x+8)2=-3(x-12) | | -3-(-9)+(-15)-2= | | 0.5+7+1.5=5 | | -5x+6=4x+105 | | 2(b+5)=3(4-b) | | 3(x+8)=-4(x-12) | | 3q^2+9-24=0 | | y=7x^2-2x+11 | | 3(6*0.5+3)+4*0.5=21-2*0.5 | | x^3-12x^2+35x= | | -17x=204 | | x^3+3x-x-3=0 | | n(n+2)=9 | | 14=27-4 | | 6x^2-64x+88=300 | | 5(X+1)=-3(X-2)-6 | | 7n-23=47 | | x^3-12x+35x= | | -3x-2y=13 | | 8H+7=113 | | (8-2x)(10-2x)=63 | | -5(4y-3)-y=-3(y-4) | | 8(2x+3)= | | 3(6x+3)+4x=21-2x |

Equations solver categories