600x^2-400x-250=0

Simple and best practice solution for 600x^2-400x-250=0 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 600x^2-400x-250=0 equation:


Simplifying
600x2 + -400x + -250 = 0

Reorder the terms:
-250 + -400x + 600x2 = 0

Solving
-250 + -400x + 600x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '50'.
50(-5 + -8x + 12x2) = 0

Ignore the factor 50.

Subproblem 1

Set the factor '(-5 + -8x + 12x2)' equal to zero and attempt to solve: Simplifying -5 + -8x + 12x2 = 0 Solving -5 + -8x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -0.4166666667 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '0.4166666667' to each side of the equation. -0.4166666667 + -0.6666666667x + 0.4166666667 + x2 = 0 + 0.4166666667 Reorder the terms: -0.4166666667 + 0.4166666667 + -0.6666666667x + x2 = 0 + 0.4166666667 Combine like terms: -0.4166666667 + 0.4166666667 = 0.0000000000 0.0000000000 + -0.6666666667x + x2 = 0 + 0.4166666667 -0.6666666667x + x2 = 0 + 0.4166666667 Combine like terms: 0 + 0.4166666667 = 0.4166666667 -0.6666666667x + x2 = 0.4166666667 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = 0.4166666667 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = 0.4166666667 + 0.1111111112 Combine like terms: 0.4166666667 + 0.1111111112 = 0.5277777779 0.1111111112 + -0.6666666667x + x2 = 0.5277777779 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = 0.5277777779 Calculate the square root of the right side: 0.726483157 Break this problem into two subproblems by setting (x + -0.3333333334) equal to 0.726483157 and -0.726483157.

Subproblem 1

x + -0.3333333334 = 0.726483157 Simplifying x + -0.3333333334 = 0.726483157 Reorder the terms: -0.3333333334 + x = 0.726483157 Solving -0.3333333334 + x = 0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 0.726483157 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 0.726483157 + 0.3333333334 x = 0.726483157 + 0.3333333334 Combine like terms: 0.726483157 + 0.3333333334 = 1.0598164904 x = 1.0598164904 Simplifying x = 1.0598164904

Subproblem 2

x + -0.3333333334 = -0.726483157 Simplifying x + -0.3333333334 = -0.726483157 Reorder the terms: -0.3333333334 + x = -0.726483157 Solving -0.3333333334 + x = -0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -0.726483157 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -0.726483157 + 0.3333333334 x = -0.726483157 + 0.3333333334 Combine like terms: -0.726483157 + 0.3333333334 = -0.3931498236 x = -0.3931498236 Simplifying x = -0.3931498236

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.0598164904, -0.3931498236}

Solution

x = {1.0598164904, -0.3931498236}

See similar equations:

| n^2-4n-5= | | 6+c=10 | | 3z-15=z+1 | | v^2+4v-12= | | x-15-8=12 | | 6v^2-6v-72= | | 6(2x+5)=5x-19 | | 140=5(7-7x) | | 7x-15=-3x-45 | | -32y^2-4y=0 | | log(9x+5)=3+log(x+2) | | 4m+7=31whatism | | 3x^2+2x-10=2x^2 | | -2(3x-5)=28 | | 8x(2x+6)=0 | | 39=3(3z+4) | | X^2+10x+5=2x | | 48=6x^2-6x+12 | | .5(4x-8)=6x+10 | | 3(6x+2)=2(9x+2) | | 4x+3=-16 | | b^2-16b+64=14 | | h=-16t^2-28t+100 | | 0.06+200=0.03+350 | | 11(2a-3b)-2(1a+5)= | | 121x^2-16y^2= | | -1x-5x+2y+2y-7z-3z= | | 6t-6+4=9t-36-8 | | 12z+z^2=34 | | -2(y+4)=12 | | 2(z+1)=6 | | 17+26=x |

Equations solver categories