(-5x^2+8)+(2x^2-25x-9)=

Simple and best practice solution for (-5x^2+8)+(2x^2-25x-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 (-5x^2+8)+(2x^2-25x-9)= equation:


Simplifying
(-5x2 + 8) + (2x2 + -25x + -9) = 0

Reorder the terms:
(8 + -5x2) + (2x2 + -25x + -9) = 0

Remove parenthesis around (8 + -5x2)
8 + -5x2 + (2x2 + -25x + -9) = 0

Reorder the terms:
8 + -5x2 + (-9 + -25x + 2x2) = 0

Remove parenthesis around (-9 + -25x + 2x2)
8 + -5x2 + -9 + -25x + 2x2 = 0

Reorder the terms:
8 + -9 + -25x + -5x2 + 2x2 = 0

Combine like terms: 8 + -9 = -1
-1 + -25x + -5x2 + 2x2 = 0

Combine like terms: -5x2 + 2x2 = -3x2
-1 + -25x + -3x2 = 0

Solving
-1 + -25x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 25x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 25x + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 25x + 3x2 = 0 Solving 1 + 25x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 8.333333333x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 8.333333333x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 8.333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 8.333333333x + x2 = 0 + -0.3333333333 8.333333333x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 8.333333333x + x2 = -0.3333333333 The x term is 8.333333333x. Take half its coefficient (4.166666667). Square it (17.36111111) and add it to both sides. Add '17.36111111' to each side of the equation. 8.333333333x + 17.36111111 + x2 = -0.3333333333 + 17.36111111 Reorder the terms: 17.36111111 + 8.333333333x + x2 = -0.3333333333 + 17.36111111 Combine like terms: -0.3333333333 + 17.36111111 = 17.0277777767 17.36111111 + 8.333333333x + x2 = 17.0277777767 Factor a perfect square on the left side: (x + 4.166666667)(x + 4.166666667) = 17.0277777767 Calculate the square root of the right side: 4.126472801 Break this problem into two subproblems by setting (x + 4.166666667) equal to 4.126472801 and -4.126472801.

Subproblem 1

x + 4.166666667 = 4.126472801 Simplifying x + 4.166666667 = 4.126472801 Reorder the terms: 4.166666667 + x = 4.126472801 Solving 4.166666667 + x = 4.126472801 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.166666667' to each side of the equation. 4.166666667 + -4.166666667 + x = 4.126472801 + -4.166666667 Combine like terms: 4.166666667 + -4.166666667 = 0.000000000 0.000000000 + x = 4.126472801 + -4.166666667 x = 4.126472801 + -4.166666667 Combine like terms: 4.126472801 + -4.166666667 = -0.040193866 x = -0.040193866 Simplifying x = -0.040193866

Subproblem 2

x + 4.166666667 = -4.126472801 Simplifying x + 4.166666667 = -4.126472801 Reorder the terms: 4.166666667 + x = -4.126472801 Solving 4.166666667 + x = -4.126472801 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.166666667' to each side of the equation. 4.166666667 + -4.166666667 + x = -4.126472801 + -4.166666667 Combine like terms: 4.166666667 + -4.166666667 = 0.000000000 0.000000000 + x = -4.126472801 + -4.166666667 x = -4.126472801 + -4.166666667 Combine like terms: -4.126472801 + -4.166666667 = -8.293139468 x = -8.293139468 Simplifying x = -8.293139468

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.040193866, -8.293139468}

Solution

x = {-0.040193866, -8.293139468}

See similar equations:

| 6x-3=x+17 | | -3x=-30+2x | | 2x+5=3 | | (n-10)*10=30 | | 17+2(4)=21+2(4) | | 3x-8=43 | | 5a^5-1080a^2= | | p=8s | | p=8a | | V^6-v^3-30= | | -30a=-32a-8 | | 8x-4(3-2x)=4(2x-3)+4 | | 3-4(0.5)=10(0.5)+10 | | 15-20z=20 | | 4x-109=686 | | (x^2-5x+1)-(x^2-2x-4)= | | 15-20z=35 | | x(2x-1)+2=24 | | 7x+3=6x+8 | | 16=-66.6m | | 5x-18x=-4x | | x^2-16x+64=7 | | y=z-6 | | 132x^2-23x=132 | | 25x^2+20x+4=17 | | 5+5x-3=1x-2-4x | | y=-.5x-2 | | 90x^2-19=90 | | 3y+2y=30 | | 7.1=3.8h+5.2 | | 65=57-4r | | 2(2w-40)+2w= |

Equations solver categories