2x^2+7x-1=0

Simple and best practice solution for 2x^2+7x-1=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 2x^2+7x-1=0 equation:


Simplifying
2x2 + 7x + -1 = 0

Reorder the terms:
-1 + 7x + 2x2 = 0

Solving
-1 + 7x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
-0.5 + 3.5x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 3.5x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 3.5x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 3.5x + x2 = 0 + 0.5
3.5x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
3.5x + x2 = 0.5

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = 0.5 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = 0.5 + 3.0625

Combine like terms: 0.5 + 3.0625 = 3.5625
3.0625 + 3.5x + x2 = 3.5625

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = 3.5625

Calculate the square root of the right side: 1.887458609

Break this problem into two subproblems by setting 
(x + 1.75) equal to 1.887458609 and -1.887458609.

Subproblem 1

x + 1.75 = 1.887458609 Simplifying x + 1.75 = 1.887458609 Reorder the terms: 1.75 + x = 1.887458609 Solving 1.75 + x = 1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = 1.887458609 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = 1.887458609 + -1.75 x = 1.887458609 + -1.75 Combine like terms: 1.887458609 + -1.75 = 0.137458609 x = 0.137458609 Simplifying x = 0.137458609

Subproblem 2

x + 1.75 = -1.887458609 Simplifying x + 1.75 = -1.887458609 Reorder the terms: 1.75 + x = -1.887458609 Solving 1.75 + x = -1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = -1.887458609 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = -1.887458609 + -1.75 x = -1.887458609 + -1.75 Combine like terms: -1.887458609 + -1.75 = -3.637458609 x = -3.637458609 Simplifying x = -3.637458609

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.137458609, -3.637458609}

See similar equations:

| 5a-3=11+7a | | 5a-3=11+7 | | (y+1)-(y-9)=2(5y-6)-8y | | -3(-5x-14)=17x+9 | | -2x+5=5x+4 | | 1+2-3+4-5+6-7+8x= | | -u-(5+13u)+10=-6(4u+11)-9 | | x^2-10x-12=0 | | 2+2=xf | | 2+2=f | | 5(-3y-4)+13=11y+7(5-4y) | | p^3+8p^2=18p | | 3(1+5)-3(-8x-7)=-45 | | -12d-16=-2(d+8)-12d | | x=x^3-x^2-14x+24 | | y=x^3-x^2-14x+24 | | 3x^2+10x=-4 | | 6x^5+4x^3-1x^2+2x+4=0 | | 18x+5=-8(-2x+6)-7 | | x^2+6x-23=0 | | 7-6x=-15-2(7x+9) | | 9(2-a)+4a=10-3a | | 2=5g | | 6x+2=52 | | 47-4x+4=0 | | 8m-m-(m+3)=12 | | 8m-m(m+3)=12 | | 2x+14=46-2x | | 8m-(m+3)=12+m | | 4z^4-16z^3+16z^2=0 | | .5a-3=7-.75a | | 4x+11=92-10x |

Equations solver categories