15x=25x^2+7

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Solution for 15x=25x^2+7 equation:


Simplifying
15x = 25x2 + 7

Reorder the terms:
15x = 7 + 25x2

Solving
15x = 7 + 25x2

Solving for variable 'x'.

Reorder the terms:
-7 + 15x + -25x2 = 7 + 25x2 + -7 + -25x2

Reorder the terms:
-7 + 15x + -25x2 = 7 + -7 + 25x2 + -25x2

Combine like terms: 7 + -7 = 0
-7 + 15x + -25x2 = 0 + 25x2 + -25x2
-7 + 15x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-7 + 15x + -25x2 = 0

Begin completing the square.  Divide all terms by
-25 the coefficient of the squared term: 

Divide each side by '-25'.
0.28 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.28' to each side of the equation.
0.28 + -0.6x + -0.28 + x2 = 0 + -0.28

Reorder the terms:
0.28 + -0.28 + -0.6x + x2 = 0 + -0.28

Combine like terms: 0.28 + -0.28 = 0.00
0.00 + -0.6x + x2 = 0 + -0.28
-0.6x + x2 = 0 + -0.28

Combine like terms: 0 + -0.28 = -0.28
-0.6x + x2 = -0.28

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.28 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.28 + 0.09

Combine like terms: -0.28 + 0.09 = -0.19
0.09 + -0.6x + x2 = -0.19

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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