125+300x+5x^2=500

Simple and best practice solution for 125+300x+5x^2=500 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 125+300x+5x^2=500 equation:


Simplifying
125 + 300x + 5x2 = 500

Solving
125 + 300x + 5x2 = 500

Solving for variable 'x'.

Reorder the terms:
125 + -500 + 300x + 5x2 = 500 + -500

Combine like terms: 125 + -500 = -375
-375 + 300x + 5x2 = 500 + -500

Combine like terms: 500 + -500 = 0
-375 + 300x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-75 + 60x + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-75 + 60x + x2)' equal to zero and attempt to solve: Simplifying -75 + 60x + x2 = 0 Solving -75 + 60x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '75' to each side of the equation. -75 + 60x + 75 + x2 = 0 + 75 Reorder the terms: -75 + 75 + 60x + x2 = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 60x + x2 = 0 + 75 60x + x2 = 0 + 75 Combine like terms: 0 + 75 = 75 60x + x2 = 75 The x term is 60x. Take half its coefficient (30). Square it (900) and add it to both sides. Add '900' to each side of the equation. 60x + 900 + x2 = 75 + 900 Reorder the terms: 900 + 60x + x2 = 75 + 900 Combine like terms: 75 + 900 = 975 900 + 60x + x2 = 975 Factor a perfect square on the left side: (x + 30)(x + 30) = 975 Calculate the square root of the right side: 31.224989992 Break this problem into two subproblems by setting (x + 30) equal to 31.224989992 and -31.224989992.

Subproblem 1

x + 30 = 31.224989992 Simplifying x + 30 = 31.224989992 Reorder the terms: 30 + x = 31.224989992 Solving 30 + x = 31.224989992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 31.224989992 + -30 Combine like terms: 30 + -30 = 0 0 + x = 31.224989992 + -30 x = 31.224989992 + -30 Combine like terms: 31.224989992 + -30 = 1.224989992 x = 1.224989992 Simplifying x = 1.224989992

Subproblem 2

x + 30 = -31.224989992 Simplifying x + 30 = -31.224989992 Reorder the terms: 30 + x = -31.224989992 Solving 30 + x = -31.224989992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = -31.224989992 + -30 Combine like terms: 30 + -30 = 0 0 + x = -31.224989992 + -30 x = -31.224989992 + -30 Combine like terms: -31.224989992 + -30 = -61.224989992 x = -61.224989992 Simplifying x = -61.224989992

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.224989992, -61.224989992}

Solution

x = {1.224989992, -61.224989992}

See similar equations:

| Y+2x-13=180 | | 6x-12=3(-2x-4) | | 2=3a+b | | 2x-2+4x=2 | | (-.01)*(-.01)= | | 12x+80+40=180 | | 129-19= | | 2+2(5x-5)=7-3(2x+1) | | -5(3d+9)+3(d-2)= | | -1s+-2=4s+4 | | (x+5)3=30 | | 15x-4=15-4x | | (x+0.3)(x+1.6)=0 | | 12+2y-y=9y+6 | | 8=4(q-8)+4 | | 7+20x=5+30x | | 62+7x=1528x | | 6x-12=3(-2x-5) | | 4-8(y+2)=-9y+7 | | 12+6cos(2x)=18cosx | | .80x+.40(40)=.40(124) | | 175x-125x+43425=46125-175x | | -y+7=8y | | 5(8)-3(8-6)=2 | | 10m+5=60-8m+12 | | 0.04-6.5=x | | 17x-14x-x-1=7 | | 106-b+1= | | 24+x+x=180 | | 19=-4+0.4x+10 | | 4(2n-5)=3 | | 1.6(5x-0.1)= |

Equations solver categories