2x(2x)+10x=3

Simple and best practice solution for 2x(2x)+10x=3 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(2x)+10x=3 equation:


Simplifying
2x(2x) + 10x = 3

Remove parenthesis around (2x)
2x * 2x + 10x = 3

Reorder the terms for easier multiplication:
2 * 2x * x + 10x = 3

Multiply 2 * 2
4x * x + 10x = 3

Multiply x * x
4x2 + 10x = 3

Reorder the terms:
10x + 4x2 = 3

Solving
10x + 4x2 = 3

Solving for variable 'x'.

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

Combine like terms: 3 + -3 = 0
-3 + 10x + 4x2 = 0

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

Divide each side by '4'.
-0.75 + 2.5x + x2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + 2.5x + 0.75 + x2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + 2.5x + x2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 2.5x + x2 = 0 + 0.75
2.5x + x2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
2.5x + x2 = 0.75

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = 0.75 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = 0.75 + 1.5625

Combine like terms: 0.75 + 1.5625 = 2.3125
1.5625 + 2.5x + x2 = 2.3125

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = 2.3125

Calculate the square root of the right side: 1.520690633

Break this problem into two subproblems by setting 
(x + 1.25) equal to 1.520690633 and -1.520690633.

Subproblem 1

x + 1.25 = 1.520690633 Simplifying x + 1.25 = 1.520690633 Reorder the terms: 1.25 + x = 1.520690633 Solving 1.25 + x = 1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 1.520690633 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 1.520690633 + -1.25 x = 1.520690633 + -1.25 Combine like terms: 1.520690633 + -1.25 = 0.270690633 x = 0.270690633 Simplifying x = 0.270690633

Subproblem 2

x + 1.25 = -1.520690633 Simplifying x + 1.25 = -1.520690633 Reorder the terms: 1.25 + x = -1.520690633 Solving 1.25 + x = -1.520690633 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -1.520690633 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -1.520690633 + -1.25 x = -1.520690633 + -1.25 Combine like terms: -1.520690633 + -1.25 = -2.770690633 x = -2.770690633 Simplifying x = -2.770690633

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.270690633, -2.770690633}

See similar equations:

| -4x+1=8 | | (1-(0.5x-15.8))=12.8-0.7x | | 6x^2-x+-1=0 | | (5x+7)(5x-7)-(5x+7)(2x+6)=0 | | 73-29f=420 | | x(x)-7x=9 | | 2640=48(p+10) | | 1-(0.5x-15.8)=12.8-0.7x | | 5x(5x)-50x+15=0 | | x(x)-12x+4=0 | | 7y+2(y-8)=3(y+2)-5 | | 3m+12=2(m+2) | | 4x(4x)+12x-48=0 | | 15-8(6-4x)=63 | | bx+2a=3a-x | | 2m(m+3)=0 | | -5(3t-4)+4t=6t-6 | | bx-2=b+2x | | (4z-3)(8+z)=0 | | .05x-4(x+.5)=1.2 | | 7x+2=-2+4x+10 | | 0.08(y-6)+0.18y=0.02y-0.03(50) | | 8(x+9)+6=78 | | 39+22+90=180 | | 0.5x+0.35(70)=42.5 | | 22+39+90=180 | | x/5=2+x-13/6 | | 6u^2-31u+5=0 | | .20b+9=6 | | 2x+75+90=180 | | -3(x+3)-4=13 | | 0=-100x^3+9x^2+3000 |

Equations solver categories