(4x^2-8x+2)-(7x^2+11x-9)=

Simple and best practice solution for (4x^2-8x+2)-(7x^2+11x-9)= 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 (4x^2-8x+2)-(7x^2+11x-9)= equation:


Simplifying
(4x2 + -8x + 2) + -1(7x2 + 11x + -9) = 0

Reorder the terms:
(2 + -8x + 4x2) + -1(7x2 + 11x + -9) = 0

Remove parenthesis around (2 + -8x + 4x2)
2 + -8x + 4x2 + -1(7x2 + 11x + -9) = 0

Reorder the terms:
2 + -8x + 4x2 + -1(-9 + 11x + 7x2) = 0
2 + -8x + 4x2 + (-9 * -1 + 11x * -1 + 7x2 * -1) = 0
2 + -8x + 4x2 + (9 + -11x + -7x2) = 0

Reorder the terms:
2 + 9 + -8x + -11x + 4x2 + -7x2 = 0

Combine like terms: 2 + 9 = 11
11 + -8x + -11x + 4x2 + -7x2 = 0

Combine like terms: -8x + -11x = -19x
11 + -19x + 4x2 + -7x2 = 0

Combine like terms: 4x2 + -7x2 = -3x2
11 + -19x + -3x2 = 0

Solving
11 + -19x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-3.666666667 + 6.333333333x + x2 = 0

Move the constant term to the right:

Add '3.666666667' to each side of the equation.
-3.666666667 + 6.333333333x + 3.666666667 + x2 = 0 + 3.666666667

Reorder the terms:
-3.666666667 + 3.666666667 + 6.333333333x + x2 = 0 + 3.666666667

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
0.000000000 + 6.333333333x + x2 = 0 + 3.666666667
6.333333333x + x2 = 0 + 3.666666667

Combine like terms: 0 + 3.666666667 = 3.666666667
6.333333333x + x2 = 3.666666667

The x term is 6.333333333x.  Take half its coefficient (3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
6.333333333x + 10.02777778 + x2 = 3.666666667 + 10.02777778

Reorder the terms:
10.02777778 + 6.333333333x + x2 = 3.666666667 + 10.02777778

Combine like terms: 3.666666667 + 10.02777778 = 13.694444447
10.02777778 + 6.333333333x + x2 = 13.694444447

Factor a perfect square on the left side:
(x + 3.166666667)(x + 3.166666667) = 13.694444447

Calculate the square root of the right side: 3.700600552

Break this problem into two subproblems by setting 
(x + 3.166666667) equal to 3.700600552 and -3.700600552.

Subproblem 1

x + 3.166666667 = 3.700600552 Simplifying x + 3.166666667 = 3.700600552 Reorder the terms: 3.166666667 + x = 3.700600552 Solving 3.166666667 + x = 3.700600552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.166666667' to each side of the equation. 3.166666667 + -3.166666667 + x = 3.700600552 + -3.166666667 Combine like terms: 3.166666667 + -3.166666667 = 0.000000000 0.000000000 + x = 3.700600552 + -3.166666667 x = 3.700600552 + -3.166666667 Combine like terms: 3.700600552 + -3.166666667 = 0.533933885 x = 0.533933885 Simplifying x = 0.533933885

Subproblem 2

x + 3.166666667 = -3.700600552 Simplifying x + 3.166666667 = -3.700600552 Reorder the terms: 3.166666667 + x = -3.700600552 Solving 3.166666667 + x = -3.700600552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.166666667' to each side of the equation. 3.166666667 + -3.166666667 + x = -3.700600552 + -3.166666667 Combine like terms: 3.166666667 + -3.166666667 = 0.000000000 0.000000000 + x = -3.700600552 + -3.166666667 x = -3.700600552 + -3.166666667 Combine like terms: -3.700600552 + -3.166666667 = -6.867267219 x = -6.867267219 Simplifying x = -6.867267219

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.533933885, -6.867267219}

See similar equations:

| z^2-175=0 | | y^2+10=46 | | 5(-7-6x)=-215 | | 8y=32x-24 | | 14w=36 | | a/12=5 | | 8(-3x+1)=-8(x+1) | | 3(-2x-9)=39 | | 6(f-5)=30 | | -3(5p+2)-2(4-14p)=3(5+4p) | | 5(2+x)=-30 | | 69(f-5)=30 | | 8(-3x+1)=-23(x-1) | | 2x+12=-26 | | y=1.6x | | 13-r=6.303 | | -9(2b+3)+(19b-2)=0 | | s^2-3s+-10=0 | | d-4.001=5.999 | | 2(4p-3)=18 | | 25+t=-183 | | (5b-7)-2(2b+1)=-5 | | 8x-9=3x+8+5x | | 7(x-2)=2x+21 | | 3.5-p=1.25 | | 9x-7=6x+9+3x | | -4(x+6)=-120 | | 5.04-j=6.303 | | X(-9)=-171 | | -2(2x+5)=-18 | | w(n)=4n-4findw(n-3) | | 2(2)-5y=1 |

Equations solver categories