7x^2-63x+28=0

Simple and best practice solution for 7x^2-63x+28=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 7x^2-63x+28=0 equation:


Simplifying
7x2 + -63x + 28 = 0

Reorder the terms:
28 + -63x + 7x2 = 0

Solving
28 + -63x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(4 + -9x + x2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(4 + -9x + x2)' equal to zero and attempt to solve: Simplifying 4 + -9x + x2 = 0 Solving 4 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -9x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -9x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x + x2 = 0 + -4 -9x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -9x + x2 = -4 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -4 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -4 + 20.25 Combine like terms: -4 + 20.25 = 16.25 20.25 + -9x + x2 = 16.25 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = 16.25 Calculate the square root of the right side: 4.031128874 Break this problem into two subproblems by setting (x + -4.5) equal to 4.031128874 and -4.031128874.

Subproblem 1

x + -4.5 = 4.031128874 Simplifying x + -4.5 = 4.031128874 Reorder the terms: -4.5 + x = 4.031128874 Solving -4.5 + x = 4.031128874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = 4.031128874 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = 4.031128874 + 4.5 x = 4.031128874 + 4.5 Combine like terms: 4.031128874 + 4.5 = 8.531128874 x = 8.531128874 Simplifying x = 8.531128874

Subproblem 2

x + -4.5 = -4.031128874 Simplifying x + -4.5 = -4.031128874 Reorder the terms: -4.5 + x = -4.031128874 Solving -4.5 + x = -4.031128874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = -4.031128874 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = -4.031128874 + 4.5 x = -4.031128874 + 4.5 Combine like terms: -4.031128874 + 4.5 = 0.468871126 x = 0.468871126 Simplifying x = 0.468871126

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.531128874, 0.468871126}

Solution

x = {8.531128874, 0.468871126}

See similar equations:

| 154(39)=3+35x(42) | | -8(x+3)=32 | | m^2=28 | | 10x+10-2x=34 | | Ln(3x+8)-ln(x)=ln(4) | | x+3-5=5x-8-14x | | -4a+5-2a-9=144 | | 8y-3=6y+1.7 | | 35-16q+2.25q^2=51 | | 9-16m=7 | | 12x+10=5x+13+6x+6 | | 0.9x=10320 | | 16-16q+2.25q^2=0 | | 70(-5+x)=45(14) | | 6x+3-9=27 | | 18x*x=39x+84 | | -8x-9=9x+3 | | -4x+99+5x=13 | | 0.9x=135000 | | 26s=130 | | 2a=44+a+10 | | -5n-20=70 | | 1.3/837.2 | | -5(6x+8)=-2(5x+2)-2x | | -b+2=-1+2 | | 120y=12000 | | X+9.8=14.2 | | 18r/3r | | 837.2/1.3 | | 11-4x=-1 | | [3x-5]=2x | | 10=5+m+2 |

Equations solver categories