4x^2+9=7x

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


Simplifying
4x2 + 9 = 7x

Reorder the terms:
9 + 4x2 = 7x

Solving
9 + 4x2 = 7x

Solving for variable 'x'.

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

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

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

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

Move the constant term to the right:

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

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

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

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

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -2.25 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -2.25 + 0.765625

Combine like terms: -2.25 + 0.765625 = -1.484375
0.765625 + -1.75x + x2 = -1.484375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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