If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1000x + -4x2 = 30000 Solving 1000x + -4x2 = 30000 Solving for variable 'x'. Reorder the terms: -30000 + 1000x + -4x2 = 30000 + -30000 Combine like terms: 30000 + -30000 = 0 -30000 + 1000x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7500 + 250x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7500 + 250x + -1x2)' equal to zero and attempt to solve: Simplifying -7500 + 250x + -1x2 = 0 Solving -7500 + 250x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7500 + -250x + x2 = 0 Move the constant term to the right: Add '-7500' to each side of the equation. 7500 + -250x + -7500 + x2 = 0 + -7500 Reorder the terms: 7500 + -7500 + -250x + x2 = 0 + -7500 Combine like terms: 7500 + -7500 = 0 0 + -250x + x2 = 0 + -7500 -250x + x2 = 0 + -7500 Combine like terms: 0 + -7500 = -7500 -250x + x2 = -7500 The x term is -250x. Take half its coefficient (-125). Square it (15625) and add it to both sides. Add '15625' to each side of the equation. -250x + 15625 + x2 = -7500 + 15625 Reorder the terms: 15625 + -250x + x2 = -7500 + 15625 Combine like terms: -7500 + 15625 = 8125 15625 + -250x + x2 = 8125 Factor a perfect square on the left side: (x + -125)(x + -125) = 8125 Calculate the square root of the right side: 90.138781887 Break this problem into two subproblems by setting (x + -125) equal to 90.138781887 and -90.138781887.Subproblem 1
x + -125 = 90.138781887 Simplifying x + -125 = 90.138781887 Reorder the terms: -125 + x = 90.138781887 Solving -125 + x = 90.138781887 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + x = 90.138781887 + 125 Combine like terms: -125 + 125 = 0 0 + x = 90.138781887 + 125 x = 90.138781887 + 125 Combine like terms: 90.138781887 + 125 = 215.138781887 x = 215.138781887 Simplifying x = 215.138781887Subproblem 2
x + -125 = -90.138781887 Simplifying x + -125 = -90.138781887 Reorder the terms: -125 + x = -90.138781887 Solving -125 + x = -90.138781887 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + x = -90.138781887 + 125 Combine like terms: -125 + 125 = 0 0 + x = -90.138781887 + 125 x = -90.138781887 + 125 Combine like terms: -90.138781887 + 125 = 34.861218113 x = 34.861218113 Simplifying x = 34.861218113Solution
The solution to the problem is based on the solutions from the subproblems. x = {215.138781887, 34.861218113}Solution
x = {215.138781887, 34.861218113}
| 7x+2-3x+5=7x-3x+4 | | 14x+6=-50 | | 6y-2xy-y^2=0 | | Z^2+2i=0 | | -22+6=m-10 | | -2-13=9x+16-8x | | 14x+6=50 | | 300-30w=120 | | 5x^3+8x^2-7x-6=0 | | -4x-2(7x+11)=184 | | 4x-10x+20=0 | | 12x+36=4x+4 | | 4x-2(3x+9)=-4 | | 10(-15/2)=16(10)-5 | | .35x=41 | | 4x-3(-4x-16)=192 | | x+(x^2-4)=2 | | 10(15/2)=16(-5)-5 | | 5+6x=-16+x | | X^3+7x^2+21x-15=0 | | 3f-30=0 | | 2f-9=2a-7 | | 3f-30=-18 | | -79+24=-4x+15x | | N*6/3=9 | | 2x+12=9+4x | | 3x/5=3/8 | | x^2+y=102 | | z=2x+5y+10 | | x^2-12x+80=48 | | 14x=13x+6 | | -15m+750=750 |