25x^2-24x-9=-7x+12x-18

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Solution for 25x^2-24x-9=-7x+12x-18 equation:


Simplifying
25x2 + -24x + -9 = -7x + 12x + -18

Reorder the terms:
-9 + -24x + 25x2 = -7x + 12x + -18

Reorder the terms:
-9 + -24x + 25x2 = -18 + -7x + 12x

Combine like terms: -7x + 12x = 5x
-9 + -24x + 25x2 = -18 + 5x

Solving
-9 + -24x + 25x2 = -18 + 5x

Solving for variable 'x'.

Reorder the terms:
-9 + 18 + -24x + -5x + 25x2 = -18 + 5x + 18 + -5x

Combine like terms: -9 + 18 = 9
9 + -24x + -5x + 25x2 = -18 + 5x + 18 + -5x

Combine like terms: -24x + -5x = -29x
9 + -29x + 25x2 = -18 + 5x + 18 + -5x

Reorder the terms:
9 + -29x + 25x2 = -18 + 18 + 5x + -5x

Combine like terms: -18 + 18 = 0
9 + -29x + 25x2 = 0 + 5x + -5x
9 + -29x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -29x + 25x2 = 0

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

Divide each side by '25'.
0.36 + -1.16x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + -1.16x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + -1.16x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -1.16x + x2 = 0 + -0.36
-1.16x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
-1.16x + x2 = -0.36

The x term is -1.16x.  Take half its coefficient (-0.58).
Square it (0.3364) and add it to both sides.

Add '0.3364' to each side of the equation.
-1.16x + 0.3364 + x2 = -0.36 + 0.3364

Reorder the terms:
0.3364 + -1.16x + x2 = -0.36 + 0.3364

Combine like terms: -0.36 + 0.3364 = -0.0236
0.3364 + -1.16x + x2 = -0.0236

Factor a perfect square on the left side:
(x + -0.58)(x + -0.58) = -0.0236

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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