4x^2-9x=-7

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Solution for 4x^2-9x=-7 equation:


Simplifying
4x2 + -9x = -7

Reorder the terms:
-9x + 4x2 = -7

Solving
-9x + 4x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -9x + 4x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -9x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2.25x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2.25x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2.25x + x2 = 0 + -1.75
-2.25x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2.25x + x2 = -1.75

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -1.75 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -1.75 + 1.265625

Combine like terms: -1.75 + 1.265625 = -0.484375
1.265625 + -2.25x + x2 = -0.484375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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