4x^2=(730)(0.0248-2x)(0.025-x)

Solution for 4x^2=(730)(0.0248-2x)(0.025-x) equation:

Simplifying
4x2 = (730)(0.0248 + -2x)(0.025 + -1x)

Multiply (0.0248 + -2x) * (0.025 + -1x)
4x2 = 730(0.0248(0.025 + -1x) + -2x * (0.025 + -1x))
4x2 = 730((0.025 * 0.0248 + -1x * 0.0248) + -2x * (0.025 + -1x))
4x2 = 730((0.00062 + -0.0248x) + -2x * (0.025 + -1x))
4x2 = 730(0.00062 + -0.0248x + (0.025 * -2x + -1x * -2x))
4x2 = 730(0.00062 + -0.0248x + (-0.05x + 2x2))

Combine like terms: -0.0248x + -0.05x = -0.0748x
4x2 = 730(0.00062 + -0.0748x + 2x2)
4x2 = (0.00062 * 730 + -0.0748x * 730 + 2x2 * 730)
4x2 = (0.4526 + -54.604x + 1460x2)

Solving
4x2 = 0.4526 + -54.604x + 1460x2

Solving for variable 'x'.

Reorder the terms:
-0.4526 + 54.604x + 4x2 + -1460x2 = 0.4526 + -54.604x + 1460x2 + -0.4526 + 54.604x + -1460x2

Combine like terms: 4x2 + -1460x2 = -1456x2
-0.4526 + 54.604x + -1456x2 = 0.4526 + -54.604x + 1460x2 + -0.4526 + 54.604x + -1460x2

Reorder the terms:
-0.4526 + 54.604x + -1456x2 = 0.4526 + -0.4526 + -54.604x + 54.604x + 1460x2 + -1460x2

Combine like terms: 0.4526 + -0.4526 = 0.0000
-0.4526 + 54.604x + -1456x2 = 0.0000 + -54.604x + 54.604x + 1460x2 + -1460x2
-0.4526 + 54.604x + -1456x2 = -54.604x + 54.604x + 1460x2 + -1460x2

Combine like terms: -54.604x + 54.604x = 0.000
-0.4526 + 54.604x + -1456x2 = 0.000 + 1460x2 + -1460x2
-0.4526 + 54.604x + -1456x2 = 1460x2 + -1460x2

Combine like terms: 1460x2 + -1460x2 = 0
-0.4526 + 54.604x + -1456x2 = 0

Begin completing the square.  Divide all terms by
-1456 the coefficient of the squared term: 

Divide each side by '-1456'.
0.0003108516484 + -0.03750274725x + x2 = 0

Move the constant term to the right:

Add '-0.0003108516484' to each side of the equation.
0.0003108516484 + -0.03750274725x + -0.0003108516484 + x2 = 0 + -0.0003108516484

Reorder the terms:
0.0003108516484 + -0.0003108516484 + -0.03750274725x + x2 = 0 + -0.0003108516484

Combine like terms: 0.0003108516484 + -0.0003108516484 = 0.0000000000000
0.0000000000000 + -0.03750274725x + x2 = 0 + -0.0003108516484
-0.03750274725x + x2 = 0 + -0.0003108516484

Combine like terms: 0 + -0.0003108516484 = -0.0003108516484
-0.03750274725x + x2 = -0.0003108516484

The x term is -0.03750274725x.  Take half its coefficient (-0.01875137363).
Square it (0.0003516140130) and add it to both sides.

Add '0.0003516140130' to each side of the equation.
-0.03750274725x + 0.0003516140130 + x2 = -0.0003108516484 + 0.0003516140130

Reorder the terms:
0.0003516140130 + -0.03750274725x + x2 = -0.0003108516484 + 0.0003516140130

Combine like terms: -0.0003108516484 + 0.0003516140130 = 0.0000407623646
0.0003516140130 + -0.03750274725x + x2 = 0.0000407623646

Factor a perfect square on the left side:
(x + -0.01875137363)(x + -0.01875137363) = 0.0000407623646

Calculate the square root of the right side: 0.006384541

Break this problem into two subproblems by setting 
(x + -0.01875137363) equal to 0.006384541 and -0.006384541.

Subproblem 1
x + -0.01875137363 = 0.006384541

Simplifying
x + -0.01875137363 = 0.006384541

Reorder the terms:
-0.01875137363 + x = 0.006384541

Solving
-0.01875137363 + x = 0.006384541

Solving for variable 'x'.

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

Add '0.01875137363' to each side of the equation.
-0.01875137363 + 0.01875137363 + x = 0.006384541 + 0.01875137363

Combine like terms: -0.01875137363 + 0.01875137363 = 0.00000000000
0.00000000000 + x = 0.006384541 + 0.01875137363
x = 0.006384541 + 0.01875137363

Combine like terms: 0.006384541 + 0.01875137363 = 0.02513591463
x = 0.02513591463

Simplifying
x = 0.02513591463

Subproblem 2
x + -0.01875137363 = -0.006384541

Simplifying
x + -0.01875137363 = -0.006384541

Reorder the terms:
-0.01875137363 + x = -0.006384541

Solving
-0.01875137363 + x = -0.006384541

Solving for variable 'x'.

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

Add '0.01875137363' to each side of the equation.
-0.01875137363 + 0.01875137363 + x = -0.006384541 + 0.01875137363

Combine like terms: -0.01875137363 + 0.01875137363 = 0.00000000000
0.00000000000 + x = -0.006384541 + 0.01875137363
x = -0.006384541 + 0.01875137363

Combine like terms: -0.006384541 + 0.01875137363 = 0.01236683263
x = 0.01236683263

Simplifying
x = 0.01236683263

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.02513591463, 0.01236683263}