-2x^2+10x-9=0

Simple and best practice solution for -2x^2+10x-9=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+10x-9=0 equation:


Simplifying
-2x2 + 10x + -9 = 0

Reorder the terms:
-9 + 10x + -2x2 = 0

Solving
-9 + 10x + -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'.
4.5 + -5x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -5x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -5x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -5x + x2 = 0 + -4.5
-5x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-5x + x2 = -4.5

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -4.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -4.5 + 6.25

Combine like terms: -4.5 + 6.25 = 1.75
6.25 + -5x + x2 = 1.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 1.75

Calculate the square root of the right side: 1.322875656

Break this problem into two subproblems by setting 
(x + -2.5) equal to 1.322875656 and -1.322875656.

Subproblem 1

x + -2.5 = 1.322875656 Simplifying x + -2.5 = 1.322875656 Reorder the terms: -2.5 + x = 1.322875656 Solving -2.5 + x = 1.322875656 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 1.322875656 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 1.322875656 + 2.5 x = 1.322875656 + 2.5 Combine like terms: 1.322875656 + 2.5 = 3.822875656 x = 3.822875656 Simplifying x = 3.822875656

Subproblem 2

x + -2.5 = -1.322875656 Simplifying x + -2.5 = -1.322875656 Reorder the terms: -2.5 + x = -1.322875656 Solving -2.5 + x = -1.322875656 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -1.322875656 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -1.322875656 + 2.5 x = -1.322875656 + 2.5 Combine like terms: -1.322875656 + 2.5 = 1.177124344 x = 1.177124344 Simplifying x = 1.177124344

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.822875656, 1.177124344}

See similar equations:

| 67-w=198 | | -w+236=116 | | 3x12/3^2 | | 6x+7z=3+5y | | x^-1/7=1/3 | | 18-m=60 | | 6Xx-3-2Xx+7=-163.6 | | 61=5u-9 | | 6Xx-3-2Xx+7=1369.2 | | 2n+15=5n | | 6Xx-3-2Xx+7=592 | | 2x-3=5y+8 | | 9n-36=18 | | 2p^2+2p-2=0 | | 6y+7v-16=-81 | | 6Xx-3-2Xx+7=24 | | 4m=15.6 | | 3x+42=13x-68 | | 2x(x-4)-5x=-5 | | 11+ln(x)=0 | | 4/3=t/7 | | 3p^2+p-3=0 | | 5x+20=10x+0 | | 7y-4z=2 | | (8x^3-6x^2+8x)-(7x^2+3x+3)= | | ln(11x)=11+ln(x) | | 7/3=4/t | | 2(2x+3)=3(x+3) | | 21=1g-3c | | 3h+4b=A | | z/12=4/5 | | 3*7+57=4 |

Equations solver categories