37=3x^2-3x+1

Simple and best practice solution for 37=3x^2-3x+1 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 37=3x^2-3x+1 equation: 


Simplifying
37 = 3x2 + -3x + 1

Reorder the terms:
37 = 1 + -3x + 3x2

Solving
37 = 1 + -3x + 3x2

Solving for variable 'x'.

Combine like terms: 37 + -1 = 36
36 + 3x + -3x2 = 1 + -3x + 3x2 + -1 + 3x + -3x2

Reorder the terms:
36 + 3x + -3x2 = 1 + -1 + -3x + 3x + 3x2 + -3x2

Combine like terms: 1 + -1 = 0
36 + 3x + -3x2 = 0 + -3x + 3x + 3x2 + -3x2
36 + 3x + -3x2 = -3x + 3x + 3x2 + -3x2

Combine like terms: -3x + 3x = 0
36 + 3x + -3x2 = 0 + 3x2 + -3x2
36 + 3x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
36 + 3x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + x + -1x2) = 0

Factor a trinomial.
3((4 + -1x)(3 + x)) = 0

Ignore the factor 3.

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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {4, -3}

See similar equations:

| 7=3x^2-3x+1 | | 19=3*x^2-3*x+1 | | 4-9/4 | | 4(x-7)+14=2(x-5) | | x+x(0.20)=316250 | | 1/3x-4=2/43(3x-2) | | 3x-7(7-x)=3 | | lots=0.4 | | 7(u-2)-5u=-26 | | 7w+5(w+5)=-35 | | 35=2(v-5)+3v | | 5x+1(x^2-6x+11)= | | 15x-3xy-y+5=0 | | -1.09375=ln(0.1/x) | | 2x²-6x-36/2x-12 | | Y=4x+-20 | | 4x^2+5y^2-8x+20y=-25 | | 0.017=-0.005889*ln(1/x) | | 40+0.6x=x | | -6x=d+4 | | (x-3y)(3x+11y)= | | (1-8r)(1+8r)= | | X/-4=3.45 | | X^2-4.9x+2.9=0 | | (5+3i)(5-3i)=34 | | 6(x+1.1)=5x+8.1 | | 0.6x+40=x | | cos(3x)+cos(2x)-cos(x)=0 | | X^2-4.8x+2.7=0 | | (X-5-3i)(x-5+3i)=34 | | 10x-2x=0 | | 4/21-8/45 |

Equations solver categories