2x^2+122=28x

Simple and best practice solution for 2x^2+122=28x 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 2x^2+122=28x equation:


Simplifying
2x2 + 122 = 28x

Reorder the terms:
122 + 2x2 = 28x

Solving
122 + 2x2 = 28x

Solving for variable 'x'.

Reorder the terms:
122 + -28x + 2x2 = 28x + -28x

Combine like terms: 28x + -28x = 0
122 + -28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(61 + -14x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(61 + -14x + x2)' equal to zero and attempt to solve: Simplifying 61 + -14x + x2 = 0 Solving 61 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-61' to each side of the equation. 61 + -14x + -61 + x2 = 0 + -61 Reorder the terms: 61 + -61 + -14x + x2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -14x + x2 = 0 + -61 -14x + x2 = 0 + -61 Combine like terms: 0 + -61 = -61 -14x + x2 = -61 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -61 + 49 Reorder the terms: 49 + -14x + x2 = -61 + 49 Combine like terms: -61 + 49 = -12 49 + -14x + x2 = -12 Factor a perfect square on the left side: (x + -7)(x + -7) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 3(9x+2)=15x | | 7x+15=4x-6 | | X+5*16=372 | | 9x^2+3x=2x-1 | | 5(z+1)=6z-7 | | (19-9)+(-5)-3= | | 25+9p=58p | | 0=-16t^2+68t+20 | | x^2+y^2-8x-10y+10=0 | | 21n(x-7)=6 | | 10.9s+15=30 | | 12-t=24 | | -5=a/6 | | 2+6x-4x=14 | | (9-y)(2y+7)=0 | | 4/5(2+4x)=152/5 | | 5x^2+3x=-1 | | 15/78x6/11 | | 2(y+6)=-y+12 | | 2y+12=-y+12 | | 36q^2+2r-4q=x | | (x+9)2+81-25=0 | | 4.56/0.12 | | (4a+6b)(a-b)= | | (7x-8).2=6+4x | | 4(y+4)+3y=44 | | (-3r+4r^2-3)-(4r^2+6r-2)= | | 2x-5=3-x | | 4x-3+2x+9=90 | | (3p-1/2)-(p/2-3/2)+4-p/2 | | 1-64z^2= | | Y=50+12x |

Equations solver categories