4x^2=6x-7

Simple and best practice solution for 4x^2=6x-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2=6x-7 equation:


Simplifying
4x2 = 6x + -7

Reorder the terms:
4x2 = -7 + 6x

Solving
4x2 = -7 + 6x

Solving for variable 'x'.

Reorder the terms:
7 + -6x + 4x2 = -7 + 6x + 7 + -6x

Reorder the terms:
7 + -6x + 4x2 = -7 + 7 + 6x + -6x

Combine like terms: -7 + 7 = 0
7 + -6x + 4x2 = 0 + 6x + -6x
7 + -6x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -6x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -1.5x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -1.5x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -1.5x + x2 = 0 + -1.75
-1.5x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-1.5x + x2 = -1.75

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1.75 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1.75 + 0.5625

Combine like terms: -1.75 + 0.5625 = -1.1875
0.5625 + -1.5x + x2 = -1.1875

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4x^3+6x^2-6x-4= | | 8=n+3n-24 | | 5x^3+4x^2=6x-7 | | abd(2x+5)=cbd(3x+8) | | 3p/8+7p/16-3/4=1/4+p/16+1/2 | | 13t+10=-55 | | 0.6x+0.07y=412.5 | | 6x+40=8x | | 15t-12=72 | | 3x+4y+5z=3(xyz) | | 13t-7=-46 | | 6x+7y=36xy | | Y-9=12 | | 9b+55b= | | 15t-5=-35 | | 4(x+4)+3x=6(x+13) | | 7x-9=y | | -5c+6=-4c | | 4(x+3)+2x=5(x+12) | | 12t+12=-24 | | (9x+7)(4x+8x+3)= | | (z-7)(z+5)=0 | | 2(4)+y=4 | | 12t+4=-20 | | 5x+x-x-5=20 | | 12t-4=-20 | | (5w+4)(1-w)=0 | | 3v+7(v+5)=-5(1-2v) | | 4(x+8)+2x=5(x+15) | | .7w+16+4w=27.38 | | Z^2=45+14i | | 4x+7y=46 |

Equations solver categories