7x^2-14x-175=0

Simple and best practice solution for 7x^2-14x-175=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^2-14x-175=0 equation:


Simplifying
7x2 + -14x + -175 = 0

Reorder the terms:
-175 + -14x + 7x2 = 0

Solving
-175 + -14x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-25 + -2x + x2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-25 + -2x + x2)' equal to zero and attempt to solve: Simplifying -25 + -2x + x2 = 0 Solving -25 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '25' to each side of the equation. -25 + -2x + 25 + x2 = 0 + 25 Reorder the terms: -25 + 25 + -2x + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x + x2 = 0 + 25 -2x + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -2x + x2 = 25 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 25 + 1 Reorder the terms: 1 + -2x + x2 = 25 + 1 Combine like terms: 25 + 1 = 26 1 + -2x + x2 = 26 Factor a perfect square on the left side: (x + -1)(x + -1) = 26 Calculate the square root of the right side: 5.099019514 Break this problem into two subproblems by setting (x + -1) equal to 5.099019514 and -5.099019514.

Subproblem 1

x + -1 = 5.099019514 Simplifying x + -1 = 5.099019514 Reorder the terms: -1 + x = 5.099019514 Solving -1 + x = 5.099019514 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 5.099019514 + 1 Combine like terms: -1 + 1 = 0 0 + x = 5.099019514 + 1 x = 5.099019514 + 1 Combine like terms: 5.099019514 + 1 = 6.099019514 x = 6.099019514 Simplifying x = 6.099019514

Subproblem 2

x + -1 = -5.099019514 Simplifying x + -1 = -5.099019514 Reorder the terms: -1 + x = -5.099019514 Solving -1 + x = -5.099019514 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -5.099019514 + 1 Combine like terms: -1 + 1 = 0 0 + x = -5.099019514 + 1 x = -5.099019514 + 1 Combine like terms: -5.099019514 + 1 = -4.099019514 x = -4.099019514 Simplifying x = -4.099019514

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.099019514, -4.099019514}

Solution

x = {6.099019514, -4.099019514}

See similar equations:

| 2x+4(-x+3)=7 | | f(x)=x^4+2x | | (7-2x)^2=121/144 | | 5+4cosx=0 | | 24=-30+12 | | 7/x/=42 | | -(7x+(-4x+(-2+4))-(5x+1))=0 | | 2y+17+2y+5=180 | | ax+z=w-y | | 2x+10=122 | | 12r^2+35rs+25s^2=12r^2+20rs+15rs+25s^2 | | 1/8-1/32= | | 2+2a=3b-5 | | y+2=4x+20 | | 3(y-4)+2y=2 | | 10(0)+4d=40 | | (2x)+(x+14)+(x-38)=180 | | 4x-18=x+42 | | 2cos(4x-1)=0 | | 2k-3/4=8 | | (17b-9)-8(2b+2)=-5 | | 3-2(x+4)=5-7x | | 9.95=4.95m+49.95 | | 2(y-4)-7y=2 | | 7(x+2)=7+(x+2)+7+(x+2) | | 2t^2+20t=100 | | -2z+5=28+9z-1 | | 7x+14=7x+14+7+(x+2) | | x-3/4=r/4 | | 10/u=3/8 | | 2x^2+4x-20=4 | | -16+11x=10+10x |

Equations solver categories