x^2+4x-70=0

Simple and best practice solution for x^2+4x-70=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 x^2+4x-70=0 equation:


Simplifying
x2 + 4x + -70 = 0

Reorder the terms:
-70 + 4x + x2 = 0

Solving
-70 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '70' to each side of the equation.
-70 + 4x + 70 + x2 = 0 + 70

Reorder the terms:
-70 + 70 + 4x + x2 = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 4x + x2 = 0 + 70
4x + x2 = 0 + 70

Combine like terms: 0 + 70 = 70
4x + x2 = 70

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 70 + 4

Reorder the terms:
4 + 4x + x2 = 70 + 4

Combine like terms: 70 + 4 = 74
4 + 4x + x2 = 74

Factor a perfect square on the left side:
(x + 2)(x + 2) = 74

Calculate the square root of the right side: 8.602325267

Break this problem into two subproblems by setting 
(x + 2) equal to 8.602325267 and -8.602325267.

Subproblem 1

x + 2 = 8.602325267 Simplifying x + 2 = 8.602325267 Reorder the terms: 2 + x = 8.602325267 Solving 2 + x = 8.602325267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 8.602325267 + -2 Combine like terms: 2 + -2 = 0 0 + x = 8.602325267 + -2 x = 8.602325267 + -2 Combine like terms: 8.602325267 + -2 = 6.602325267 x = 6.602325267 Simplifying x = 6.602325267

Subproblem 2

x + 2 = -8.602325267 Simplifying x + 2 = -8.602325267 Reorder the terms: 2 + x = -8.602325267 Solving 2 + x = -8.602325267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -8.602325267 + -2 Combine like terms: 2 + -2 = 0 0 + x = -8.602325267 + -2 x = -8.602325267 + -2 Combine like terms: -8.602325267 + -2 = -10.602325267 x = -10.602325267 Simplifying x = -10.602325267

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.602325267, -10.602325267}

See similar equations:

| 3c+y=8c-3 | | 4z=3z-2 | | 2x^3+6x^2+2x+6= | | 8v=-5 | | 64-16b+b^2=0 | | 5p=wx-b | | Solvetd=rt | | 36x+3=94 | | 6m=-54 | | 6-(4y-8)=9-5y | | 3a^2x-2a^3=x^3 | | td=rt | | 3g^2-2g-2=0 | | 3a^2(x)-2a^3=x^3 | | -8(z+2)+5z= | | 6u^2=2u^2+16u+15 | | 249+9s=465 | | a^2+11a+28=0 | | 13x+7(-3x-1)=63 | | 6*0.15+w=10 | | 11x-9=140 | | 2x^2-11x-2=0 | | 3.5x-1=(-0.5)(-7x+2) | | 5y-9+y+33=8y+30-4y | | -3x+5=32 | | 20+5a=30+3a | | 11x-9=5x+5 | | 2c-7=21 | | -7x-2-3+x+8= | | 27x^2-10x=0 | | 2(y+3)=60(y-3) | | (x-6)(3x+1)=0 |

Equations solver categories