If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5000 = 10x2 + 90x Reorder the terms: 5000 = 90x + 10x2 Solving 5000 = 90x + 10x2 Solving for variable 'x'. Reorder the terms: 5000 + -90x + -10x2 = 90x + -90x + 10x2 + -10x2 Combine like terms: 90x + -90x = 0 5000 + -90x + -10x2 = 0 + 10x2 + -10x2 5000 + -90x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 5000 + -90x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(500 + -9x + -1x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(500 + -9x + -1x2)' equal to zero and attempt to solve: Simplifying 500 + -9x + -1x2 = 0 Solving 500 + -9x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -500 + 9x + x2 = 0 Move the constant term to the right: Add '500' to each side of the equation. -500 + 9x + 500 + x2 = 0 + 500 Reorder the terms: -500 + 500 + 9x + x2 = 0 + 500 Combine like terms: -500 + 500 = 0 0 + 9x + x2 = 0 + 500 9x + x2 = 0 + 500 Combine like terms: 0 + 500 = 500 9x + x2 = 500 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = 500 + 20.25 Reorder the terms: 20.25 + 9x + x2 = 500 + 20.25 Combine like terms: 500 + 20.25 = 520.25 20.25 + 9x + x2 = 520.25 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 520.25 Calculate the square root of the right side: 22.808989456 Break this problem into two subproblems by setting (x + 4.5) equal to 22.808989456 and -22.808989456.Subproblem 1
x + 4.5 = 22.808989456 Simplifying x + 4.5 = 22.808989456 Reorder the terms: 4.5 + x = 22.808989456 Solving 4.5 + x = 22.808989456 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 22.808989456 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 22.808989456 + -4.5 x = 22.808989456 + -4.5 Combine like terms: 22.808989456 + -4.5 = 18.308989456 x = 18.308989456 Simplifying x = 18.308989456Subproblem 2
x + 4.5 = -22.808989456 Simplifying x + 4.5 = -22.808989456 Reorder the terms: 4.5 + x = -22.808989456 Solving 4.5 + x = -22.808989456 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -22.808989456 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -22.808989456 + -4.5 x = -22.808989456 + -4.5 Combine like terms: -22.808989456 + -4.5 = -27.308989456 x = -27.308989456 Simplifying x = -27.308989456Solution
The solution to the problem is based on the solutions from the subproblems. x = {18.308989456, -27.308989456}Solution
x = {18.308989456, -27.308989456}
| 4x-24=7x-28 | | .2x^2-.8x+.5=0 | | 3/4d-1/5=1/6 | | 8x-45=6x+54 | | x^(1/2)/2=343^(1/3) | | x(x-6)+9=25 | | 10.2+3n=11 | | X+.05x=294000 | | 10y-7=4y+5 | | -84=-2+6x+8+3x | | -7b=63 | | 2(u-2)-5u=-2(u+3) | | 4a=2a+1 | | 4x+5x+3+5x+6=107 | | 5x-9=87-7x | | 4x+2y+3z= | | 0=14x^2+x-4 | | 2x^2+48x+160=364 | | 10(z+3)-3(z-3)=2(z-1)+4(z-4) | | 28x-7-16x=3(4x-3)+2 | | ln(x+10)-ln(x+4)=3 | | -1/5×-9/7=-3/2 | | 96-33-(-109)= | | 6=-3(22-y)+2(y-4) | | 83-(6x+15)=6(x+7)+x | | in(x+10)-in(x+4)=3 | | 5a+7y+8a+7y= | | 2x^3+5x^2+x+3=621 | | 4x+5x+2+5x+7=107 | | 2x^3+5x^2+x-618=0 | | 2x^2+17x+130=0 | | -5/8×1/4 |