If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 12x2 + 500x + -3000 Reorder the terms: 0 = -3000 + 500x + 12x2 Solving 0 = -3000 + 500x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 3000 = 3000 3000 + -500x + -12x2 = -3000 + 500x + 12x2 + 3000 + -500x + -12x2 Reorder the terms: 3000 + -500x + -12x2 = -3000 + 3000 + 500x + -500x + 12x2 + -12x2 Combine like terms: -3000 + 3000 = 0 3000 + -500x + -12x2 = 0 + 500x + -500x + 12x2 + -12x2 3000 + -500x + -12x2 = 500x + -500x + 12x2 + -12x2 Combine like terms: 500x + -500x = 0 3000 + -500x + -12x2 = 0 + 12x2 + -12x2 3000 + -500x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 3000 + -500x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(750 + -125x + -3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(750 + -125x + -3x2)' equal to zero and attempt to solve: Simplifying 750 + -125x + -3x2 = 0 Solving 750 + -125x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -250 + 41.66666667x + x2 = 0 Move the constant term to the right: Add '250' to each side of the equation. -250 + 41.66666667x + 250 + x2 = 0 + 250 Reorder the terms: -250 + 250 + 41.66666667x + x2 = 0 + 250 Combine like terms: -250 + 250 = 0 0 + 41.66666667x + x2 = 0 + 250 41.66666667x + x2 = 0 + 250 Combine like terms: 0 + 250 = 250 41.66666667x + x2 = 250 The x term is 41.66666667x. Take half its coefficient (20.83333334). Square it (434.0277781) and add it to both sides. Add '434.0277781' to each side of the equation. 41.66666667x + 434.0277781 + x2 = 250 + 434.0277781 Reorder the terms: 434.0277781 + 41.66666667x + x2 = 250 + 434.0277781 Combine like terms: 250 + 434.0277781 = 684.0277781 434.0277781 + 41.66666667x + x2 = 684.0277781 Factor a perfect square on the left side: (x + 20.83333334)(x + 20.83333334) = 684.0277781 Calculate the square root of the right side: 26.153924717 Break this problem into two subproblems by setting (x + 20.83333334) equal to 26.153924717 and -26.153924717.Subproblem 1
x + 20.83333334 = 26.153924717 Simplifying x + 20.83333334 = 26.153924717 Reorder the terms: 20.83333334 + x = 26.153924717 Solving 20.83333334 + x = 26.153924717 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.83333334' to each side of the equation. 20.83333334 + -20.83333334 + x = 26.153924717 + -20.83333334 Combine like terms: 20.83333334 + -20.83333334 = 0.00000000 0.00000000 + x = 26.153924717 + -20.83333334 x = 26.153924717 + -20.83333334 Combine like terms: 26.153924717 + -20.83333334 = 5.320591377 x = 5.320591377 Simplifying x = 5.320591377Subproblem 2
x + 20.83333334 = -26.153924717 Simplifying x + 20.83333334 = -26.153924717 Reorder the terms: 20.83333334 + x = -26.153924717 Solving 20.83333334 + x = -26.153924717 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.83333334' to each side of the equation. 20.83333334 + -20.83333334 + x = -26.153924717 + -20.83333334 Combine like terms: 20.83333334 + -20.83333334 = 0.00000000 0.00000000 + x = -26.153924717 + -20.83333334 x = -26.153924717 + -20.83333334 Combine like terms: -26.153924717 + -20.83333334 = -46.987258057 x = -46.987258057 Simplifying x = -46.987258057Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.320591377, -46.987258057}Solution
x = {5.320591377, -46.987258057}
| 5x+20=13x-4 | | X-4Y+2Z=21 | | 18x+8y=180 | | 16x=16x | | 4a+4+5= | | 7v+8-13=5+v-2 | | 15=425-h | | 17k-15k=18 | | 8a-2a=18 | | -f(a)=2(a)-5 | | 2x-5x+63=-144 | | 3x+2y-5z=40 | | 12t-11t=18 | | 2a-6b-14=0 | | -4x+6=-38 | | 5g-16=14 | | 5.00x+7.50(875.00-x)=875.00 | | 12-7s=-23 | | 12=7-16+7x | | 5x+20=86-6x | | y^2-4y=-8 | | 45.00=9 | | 8y+6+12n= | | V=4x(5-x)(10-x) | | -15-50-82= | | t(x)=2x | | 4s-2=-10 | | 7y+by= | | 0.10x+0.60(400)=.20(400+x) | | 2X+3Y-2=-5 | | n(x)=-4x-8 | | 5f=f-6 |