5x^2-40x=90

Simple and best practice solution for 5x^2-40x=90 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^2-40x=90 equation:


Simplifying
5x2 + -40x = 90

Reorder the terms:
-40x + 5x2 = 90

Solving
-40x + 5x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + -40x + 5x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + -40x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -8x + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-18 + -8x + x2)' equal to zero and attempt to solve: Simplifying -18 + -8x + x2 = 0 Solving -18 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '18' to each side of the equation. -18 + -8x + 18 + x2 = 0 + 18 Reorder the terms: -18 + 18 + -8x + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -8x + x2 = 0 + 18 -8x + x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -8x + x2 = 18 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = 18 + 16 Reorder the terms: 16 + -8x + x2 = 18 + 16 Combine like terms: 18 + 16 = 34 16 + -8x + x2 = 34 Factor a perfect square on the left side: (x + -4)(x + -4) = 34 Calculate the square root of the right side: 5.830951895 Break this problem into two subproblems by setting (x + -4) equal to 5.830951895 and -5.830951895.

Subproblem 1

x + -4 = 5.830951895 Simplifying x + -4 = 5.830951895 Reorder the terms: -4 + x = 5.830951895 Solving -4 + x = 5.830951895 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 5.830951895 + 4 Combine like terms: -4 + 4 = 0 0 + x = 5.830951895 + 4 x = 5.830951895 + 4 Combine like terms: 5.830951895 + 4 = 9.830951895 x = 9.830951895 Simplifying x = 9.830951895

Subproblem 2

x + -4 = -5.830951895 Simplifying x + -4 = -5.830951895 Reorder the terms: -4 + x = -5.830951895 Solving -4 + x = -5.830951895 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -5.830951895 + 4 Combine like terms: -4 + 4 = 0 0 + x = -5.830951895 + 4 x = -5.830951895 + 4 Combine like terms: -5.830951895 + 4 = -1.830951895 x = -1.830951895 Simplifying x = -1.830951895

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.830951895, -1.830951895}

Solution

x = {9.830951895, -1.830951895}

See similar equations:

| 71-2x=3x+15 | | x^3-9x^2+18x=0 | | -20x^2-5x=0 | | 5+3.25x=5 | | 40x+45(16)=44x+44*16 | | 80x+25(80)=70x+70*80 | | 4-3(5x-2)-4x+3= | | 5=-.5(2x-4)-2x | | 6x+13=103-4x | | 3x+8=10x-7 | | 8+4x=10x-5 | | 5+5x=50 | | 10+6x=40 | | 7=p+11 | | 0.75m-5-.5m=1 | | x+10-3=-15 | | 10-3= | | 8-x=30 | | x^2+15x+52=0 | | 8+7x=34 | | 4z^2-1=0 | | -.375m+1-1.625m=5 | | 8-7x=70-21x | | 3(x+6)+2=5x-8 | | 4x+21=11x-35 | | 7-(4-8)= | | 5(x-2)+3x=10x-2(x+5) | | x+(x+2)=8 | | 6.9+(-9.1)= | | -5=.5(x+4)-1.5x | | 4+3x=22+x | | 5x+21=15x-59 |

Equations solver categories