7x^2+0.5x=0.01

Simple and best practice solution for 7x^2+0.5x=0.01 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 7x^2+0.5x=0.01 equation:


Simplifying
7x2 + 0.5x = 0.01

Reorder the terms:
0.5x + 7x2 = 0.01

Solving
0.5x + 7x2 = 0.01

Solving for variable 'x'.

Reorder the terms:
-0.01 + 0.5x + 7x2 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-0.01 + 0.5x + 7x2 = 0.00

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

Divide each side by '7'.
-0.001428571429 + 0.07142857143x + x2 = 0.00

Move the constant term to the right:

Add '0.001428571429' to each side of the equation.
-0.001428571429 + 0.07142857143x + 0.001428571429 + x2 = 0.00 + 0.001428571429

Reorder the terms:
-0.001428571429 + 0.001428571429 + 0.07142857143x + x2 = 0.00 + 0.001428571429

Combine like terms: -0.001428571429 + 0.001428571429 = 0.000000000000
0.000000000000 + 0.07142857143x + x2 = 0.00 + 0.001428571429
0.07142857143x + x2 = 0.00 + 0.001428571429

Combine like terms: 0.00 + 0.001428571429 = 0.001428571429
0.07142857143x + x2 = 0.001428571429

The x term is 0.07142857143x.  Take half its coefficient (0.03571428572).
Square it (0.001275510204) and add it to both sides.

Add '0.001275510204' to each side of the equation.
0.07142857143x + 0.001275510204 + x2 = 0.001428571429 + 0.001275510204

Reorder the terms:
0.001275510204 + 0.07142857143x + x2 = 0.001428571429 + 0.001275510204

Combine like terms: 0.001428571429 + 0.001275510204 = 0.002704081633
0.001275510204 + 0.07142857143x + x2 = 0.002704081633

Factor a perfect square on the left side:
(x + 0.03571428572)(x + 0.03571428572) = 0.002704081633

Calculate the square root of the right side: 0.052000785

Break this problem into two subproblems by setting 
(x + 0.03571428572) equal to 0.052000785 and -0.052000785.

Subproblem 1

x + 0.03571428572 = 0.052000785 Simplifying x + 0.03571428572 = 0.052000785 Reorder the terms: 0.03571428572 + x = 0.052000785 Solving 0.03571428572 + x = 0.052000785 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03571428572' to each side of the equation. 0.03571428572 + -0.03571428572 + x = 0.052000785 + -0.03571428572 Combine like terms: 0.03571428572 + -0.03571428572 = 0.00000000000 0.00000000000 + x = 0.052000785 + -0.03571428572 x = 0.052000785 + -0.03571428572 Combine like terms: 0.052000785 + -0.03571428572 = 0.01628649928 x = 0.01628649928 Simplifying x = 0.01628649928

Subproblem 2

x + 0.03571428572 = -0.052000785 Simplifying x + 0.03571428572 = -0.052000785 Reorder the terms: 0.03571428572 + x = -0.052000785 Solving 0.03571428572 + x = -0.052000785 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03571428572' to each side of the equation. 0.03571428572 + -0.03571428572 + x = -0.052000785 + -0.03571428572 Combine like terms: 0.03571428572 + -0.03571428572 = 0.00000000000 0.00000000000 + x = -0.052000785 + -0.03571428572 x = -0.052000785 + -0.03571428572 Combine like terms: -0.052000785 + -0.03571428572 = -0.08771507072 x = -0.08771507072 Simplifying x = -0.08771507072

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.01628649928, -0.08771507072}

See similar equations:

| K-5=-7 | | 5b=b-6 | | bx+by=z | | 3x+y-2z=-2 | | 255/420 | | 36=3(8x+6)+6 | | I/5-3=1 | | 6w^2+18=0 | | 36=-3(8x+6)+6 | | 3/5*44 | | s^2+4s-117=0 | | (5x^2-3x)(3x+2)=0 | | 4x+3y=69 | | 17x-58=180 | | -6w+3(w-7)=-12 | | 7y-5=6y+10 | | 45x^2-90x-20=0 | | 3(y+8)-6=21 | | 4x+3+113=180 | | 45-3+7x-15=42 | | 5(1+6v)+4v=-63 | | 46-3+7x-14=42 | | 1.7(14r+28)=2(r+2) | | 76=3x-2 | | u^2-8u+42=0 | | -7n-3n=-20 | | 8b=17 | | 200=10x+40 | | -2(w+5)=-7w+20 | | 3x^2+74=20 | | 8x-3+2x=17x | | 5(-7-6n)=25 |

Equations solver categories