x^2+2x-1.35=0

Simple and best practice solution for x^2+2x-1.35=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+2x-1.35=0 equation:


Simplifying
x2 + 2x + -1.35 = 0

Reorder the terms:
-1.35 + 2x + x2 = 0

Solving
-1.35 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1.35' to each side of the equation.
-1.35 + 2x + 1.35 + x2 = 0 + 1.35

Reorder the terms:
-1.35 + 1.35 + 2x + x2 = 0 + 1.35

Combine like terms: -1.35 + 1.35 = 0.00
0.00 + 2x + x2 = 0 + 1.35
2x + x2 = 0 + 1.35

Combine like terms: 0 + 1.35 = 1.35
2x + x2 = 1.35

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 = 1.35 + 1

Reorder the terms:
1 + 2x + x2 = 1.35 + 1

Combine like terms: 1.35 + 1 = 2.35
1 + 2x + x2 = 2.35

Factor a perfect square on the left side:
(x + 1)(x + 1) = 2.35

Calculate the square root of the right side: 1.532970972

Break this problem into two subproblems by setting 
(x + 1) equal to 1.532970972 and -1.532970972.

Subproblem 1

x + 1 = 1.532970972 Simplifying x + 1 = 1.532970972 Reorder the terms: 1 + x = 1.532970972 Solving 1 + x = 1.532970972 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 = 1.532970972 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.532970972 + -1 x = 1.532970972 + -1 Combine like terms: 1.532970972 + -1 = 0.532970972 x = 0.532970972 Simplifying x = 0.532970972

Subproblem 2

x + 1 = -1.532970972 Simplifying x + 1 = -1.532970972 Reorder the terms: 1 + x = -1.532970972 Solving 1 + x = -1.532970972 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 = -1.532970972 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.532970972 + -1 x = -1.532970972 + -1 Combine like terms: -1.532970972 + -1 = -2.532970972 x = -2.532970972 Simplifying x = -2.532970972

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.532970972, -2.532970972}

See similar equations:

| 25+70x+49x^2=0 | | 4q^2-7q=3q^2-9q+35 | | 0=2.5b-5b-420 | | -11=3x+13 | | 5-2x=2x+7 | | 24=n-5 | | 14x-7=12x+5 | | p-p^2=0.42 | | Y=-16x^2+25x+3 | | -9=x-2x+2 | | 12=11x-2x^2 | | 4s^2-51s+140=0 | | 12k-11=4k-5 | | -25x+784=817-36x | | 42-4y=18 | | 7x+62=2x+22 | | 8x+4=8x-7 | | tan(x-90)=1 | | x^2-x+0.42=0 | | (5x-2)+(3x+1)= | | 9x^2-x=8 | | 7x+16=2x+6 | | (x^(3/2))-27=0 | | 2x+x+x+102=180 | | 75q^3=3 | | x-6=54/9 | | Y=5x^2+20x+10 | | 6.28*33*15= | | 160000*2000=0 | | a=17+42 | | (x^3/2)-27=0 | | 6250=75q^3 |

Equations solver categories