10x*10x+6x-4=0

Simple and best practice solution for 10x*10x+6x-4=0 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 10x*10x+6x-4=0 equation: 


Simplifying
10x * 10x + 6x + -4 = 0

Reorder the terms for easier multiplication:
10 * 10x * x + 6x + -4 = 0

Multiply 10 * 10
100x * x + 6x + -4 = 0

Multiply x * x
100x2 + 6x + -4 = 0

Reorder the terms:
-4 + 6x + 100x2 = 0

Solving
-4 + 6x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 3x + 50x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 3x + 50x2)' equal to zero and attempt to solve:

Simplifying
-2 + 3x + 50x2 = 0

Solving
-2 + 3x + 50x2 = 0

Begin completing the square.  Divide all terms by
50 the coefficient of the squared term: 

Divide each side by '50'.
-0.04 + 0.06x + x2 = 0.0

Move the constant term to the right:

Add '0.04' to each side of the equation.
-0.04 + 0.06x + 0.04 + x2 = 0.0 + 0.04

Reorder the terms:
-0.04 + 0.04 + 0.06x + x2 = 0.0 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.06x + x2 = 0.0 + 0.04
0.06x + x2 = 0.0 + 0.04

Combine like terms: 0.0 + 0.04 = 0.04
0.06x + x2 = 0.04

The x term is 0.06x.  Take half its coefficient (0.03).
Square it (0.0009) and add it to both sides.

Add '0.0009' to each side of the equation.
0.06x + 0.0009 + x2 = 0.04 + 0.0009

Reorder the terms:
0.0009 + 0.06x + x2 = 0.04 + 0.0009

Combine like terms: 0.04 + 0.0009 = 0.0409
0.0009 + 0.06x + x2 = 0.0409

Factor a perfect square on the left side:
(x + 0.03)(x + 0.03) = 0.0409

Calculate the square root of the right side: 0.202237484

Break this problem into two subproblems by setting 
(x + 0.03) equal to 0.202237484 and -0.202237484.


Subproblem 1
x + 0.03 = 0.202237484

Simplifying
x + 0.03 = 0.202237484

Reorder the terms:
0.03 + x = 0.202237484

Solving
0.03 + x = 0.202237484

Solving for variable 'x'.

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

Add '-0.03' to each side of the equation.
0.03 + -0.03 + x = 0.202237484 + -0.03

Combine like terms: 0.03 + -0.03 = 0.00
0.00 + x = 0.202237484 + -0.03
x = 0.202237484 + -0.03

Combine like terms: 0.202237484 + -0.03 = 0.172237484
x = 0.172237484

Simplifying
x = 0.172237484


Subproblem 2
x + 0.03 = -0.202237484

Simplifying
x + 0.03 = -0.202237484

Reorder the terms:
0.03 + x = -0.202237484

Solving
0.03 + x = -0.202237484

Solving for variable 'x'.

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

Add '-0.03' to each side of the equation.
0.03 + -0.03 + x = -0.202237484 + -0.03

Combine like terms: 0.03 + -0.03 = 0.00
0.00 + x = -0.202237484 + -0.03
x = -0.202237484 + -0.03

Combine like terms: -0.202237484 + -0.03 = -0.232237484
x = -0.232237484

Simplifying
x = -0.232237484


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.172237484, -0.232237484}
Solution
x = {0.172237484, -0.232237484}

See similar equations:

| -8g=0.48 | | 0.3k=-12 | | 4[x+2(x-1)]=10 | | 42s^2-17s-15=0 | | 45s^2-17s-15=0 | | 4(x-7)=48 | | 3(10-2x)-5(x-3)=0 | | X+4=2v | | 2y-7=y+1 | | a^5+b^5=c^5 | | 10t^2+t-9=0 | | y^2-8y-7=0 | | x+y+z+2=xyz | | 6x-12y-10=0 | | 14-5(2-2x)=4(2x-3) | | 1.5f=10.5 | | -14y=1.96 | | 11k=-14.3 | | 0.7g=91 | | -0.6q=1.32 | | 0.12h=1.44 | | -4a=12.52 | | 3x^2-6x-y+1=0 | | 9-5(x-2)=7-3(x+3) | | x^3+5x-4=2 | | 3x-5-(x+3)=2(-2-4x)+3 | | x+4.4=11 | | 12x^2+48x+48=0 | | 7946=245X+119y | | 10g=-19+11g | | 18p=19.4p+14.7 | | 0.5-y=2 |

Equations solver categories