10x^2-43x+27=

Simple and best practice solution for 10x^2-43x+27= 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 10x^2-43x+27= equation:


Simplifying
10x2 + -43x + 27 = 0

Reorder the terms:
27 + -43x + 10x2 = 0

Solving
27 + -43x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
2.7 + -4.3x + x2 = 0

Move the constant term to the right:

Add '-2.7' to each side of the equation.
2.7 + -4.3x + -2.7 + x2 = 0 + -2.7

Reorder the terms:
2.7 + -2.7 + -4.3x + x2 = 0 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -4.3x + x2 = 0 + -2.7
-4.3x + x2 = 0 + -2.7

Combine like terms: 0 + -2.7 = -2.7
-4.3x + x2 = -2.7

The x term is -4.3x.  Take half its coefficient (-2.15).
Square it (4.6225) and add it to both sides.

Add '4.6225' to each side of the equation.
-4.3x + 4.6225 + x2 = -2.7 + 4.6225

Reorder the terms:
4.6225 + -4.3x + x2 = -2.7 + 4.6225

Combine like terms: -2.7 + 4.6225 = 1.9225
4.6225 + -4.3x + x2 = 1.9225

Factor a perfect square on the left side:
(x + -2.15)(x + -2.15) = 1.9225

Calculate the square root of the right side: 1.386542462

Break this problem into two subproblems by setting 
(x + -2.15) equal to 1.386542462 and -1.386542462.

Subproblem 1

x + -2.15 = 1.386542462 Simplifying x + -2.15 = 1.386542462 Reorder the terms: -2.15 + x = 1.386542462 Solving -2.15 + x = 1.386542462 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.15' to each side of the equation. -2.15 + 2.15 + x = 1.386542462 + 2.15 Combine like terms: -2.15 + 2.15 = 0.00 0.00 + x = 1.386542462 + 2.15 x = 1.386542462 + 2.15 Combine like terms: 1.386542462 + 2.15 = 3.536542462 x = 3.536542462 Simplifying x = 3.536542462

Subproblem 2

x + -2.15 = -1.386542462 Simplifying x + -2.15 = -1.386542462 Reorder the terms: -2.15 + x = -1.386542462 Solving -2.15 + x = -1.386542462 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.15' to each side of the equation. -2.15 + 2.15 + x = -1.386542462 + 2.15 Combine like terms: -2.15 + 2.15 = 0.00 0.00 + x = -1.386542462 + 2.15 x = -1.386542462 + 2.15 Combine like terms: -1.386542462 + 2.15 = 0.763457538 x = 0.763457538 Simplifying x = 0.763457538

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.536542462, 0.763457538}

See similar equations:

| 5x(4x+8)=4x(6x-10) | | -60=5v | | 4x^2-10x=-24 | | 6x^2=x^4+9 | | 3a+(-6b)-6a+b= | | 1/5(x-4)=5x-16(1-x)-4 | | -8=5+f | | sqrt(x^2+7x-44)=4 | | 14+2x=4x-3 | | 150*10=x | | k(5K-4)=2 | | -17d=11.05 | | 2x-4=100 | | x^4+9-6x^2=0 | | -10=s/2 | | 6-2(x-5)=7 | | 25x-8=5(5x+5) | | 8+5r=-17 | | -4=b-10 | | -4-2n=-5(5-n) | | (2x-6)(x-7)= | | 7/3-3/x-5=19/12 | | 128x-32=16(8x-2) | | 8x+24=2x-4 | | 12+2y=10 | | 2x+4=-4x-2 | | -3(4x+6)=2(7-5x) | | x-c/b=y-c/a | | 2(3x+3)=9x+4-3x+2 | | 0.59*25=x | | -4q-8=32+4q | | x^2+ax-3x-3a=0 |

Equations solver categories