4x^2-28x+98=0

Simple and best practice solution for 4x^2-28x+98=0 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^2-28x+98=0 equation:


Simplifying
4x2 + -28x + 98 = 0

Reorder the terms:
98 + -28x + 4x2 = 0

Solving
98 + -28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -14x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(49 + -14x + 2x2)' equal to zero and attempt to solve: Simplifying 49 + -14x + 2x2 = 0 Solving 49 + -14x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 24.5 + -7x + x2 = 0 Move the constant term to the right: Add '-24.5' to each side of the equation. 24.5 + -7x + -24.5 + x2 = 0 + -24.5 Reorder the terms: 24.5 + -24.5 + -7x + x2 = 0 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + -7x + x2 = 0 + -24.5 -7x + x2 = 0 + -24.5 Combine like terms: 0 + -24.5 = -24.5 -7x + x2 = -24.5 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -24.5 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -24.5 + 12.25 Combine like terms: -24.5 + 12.25 = -12.25 12.25 + -7x + x2 = -12.25 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -12.25 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:

| x^2-4x-3=-2x+5 | | 6(5+5n)= | | x^2-3x-23=5 | | 4r^2-36=0 | | X-26=-41 | | 11=(-4x-4)+x | | (x-3)(x-1)-48=0 | | 4(x+2)-4x-2=4 | | 6y^2+44y-90=0 | | (-1+45x)+(23x)=135 | | 7s-10=-3 | | 3-4r+2=2r-6(r-3) | | 80=-5(2x-4)-5x | | 2-7r+7=2r-9(r-1) | | -5x-2y=-14 | | 10t-3-t=3+9t | | -2+3x=-y | | -2(x+2)-5=-2x+1 | | -4+x=5 | | 6v=5.4 | | 6.5k+5-5.5k=14 | | x+4y=-26 | | x+1.25=-2.50 | | 5*(2x-3)=x(8-x) | | 12x+11=-13 | | 9.5=x+4.2 | | x(x+6)=24 | | 8x-3(x-5)=30 | | 12x+19=-17 | | -2d-7=11 | | 2x-10+4x+10=50 | | 10x+32=-18 |

Equations solver categories