If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16x2 + 68x = 72.25 Reorder the terms: 68x + -16x2 = 72.25 Solving 68x + -16x2 = 72.25 Solving for variable 'x'. Reorder the terms: -72.25 + 68x + -16x2 = 72.25 + -72.25 Combine like terms: 72.25 + -72.25 = 0.00 -72.25 + 68x + -16x2 = 0.00 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 4.515625 + -4.25x + x2 = 0.00 Move the constant term to the right: Add '-4.515625' to each side of the equation. 4.515625 + -4.25x + -4.515625 + x2 = 0.00 + -4.515625 Reorder the terms: 4.515625 + -4.515625 + -4.25x + x2 = 0.00 + -4.515625 Combine like terms: 4.515625 + -4.515625 = 0.000000 0.000000 + -4.25x + x2 = 0.00 + -4.515625 -4.25x + x2 = 0.00 + -4.515625 Combine like terms: 0.00 + -4.515625 = -4.515625 -4.25x + x2 = -4.515625 The x term is -4.25x. Take half its coefficient (-2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. -4.25x + 4.515625 + x2 = -4.515625 + 4.515625 Reorder the terms: 4.515625 + -4.25x + x2 = -4.515625 + 4.515625 Combine like terms: -4.515625 + 4.515625 = 0.000000 4.515625 + -4.25x + x2 = 0.000000 Factor a perfect square on the left side: (x + -2.125)(x + -2.125) = 0.000000 Calculate the square root of the right side: 0.000000 Break this problem into two subproblems by setting (x + -2.125) equal to 0.000000 and 0.000000.Subproblem 1
x + -2.125 = 0.000000 Simplifying x + -2.125 = 0.000000 Reorder the terms: -2.125 + x = 0.000000 Solving -2.125 + x = 0.000000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.125' to each side of the equation. -2.125 + 2.125 + x = 0.000000 + 2.125 Combine like terms: -2.125 + 2.125 = 0.000 0.000 + x = 0.000000 + 2.125 x = 0.000000 + 2.125 Combine like terms: 0.000000 + 2.125 = 2.125 x = 2.125 Simplifying x = 2.125Subproblem 2
x + -2.125 = 0.000000 Simplifying x + -2.125 = 0.000000 Reorder the terms: -2.125 + x = 0.000000 Solving -2.125 + x = 0.000000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.125' to each side of the equation. -2.125 + 2.125 + x = 0.000000 + 2.125 Combine like terms: -2.125 + 2.125 = 0.000 0.000 + x = 0.000000 + 2.125 x = 0.000000 + 2.125 Combine like terms: 0.000000 + 2.125 = 2.125 x = 2.125 Simplifying x = 2.125Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.125, 2.125}
| 3.6p+2.4(10-p)=3.3 | | 6x-9=4x | | -16x^2+68x=4.25 | | 0.06x+0.75(30)=0.30(147) | | 2x+6=10x+5+4x | | 4m+6n-6(8m-4n)= | | -16x^2+68x=0 | | 3x+6=x-14 | | 21+3(x-4)=4(x-5) | | 8z+3=9z | | 3(x+2)=x-14 | | 4-.025x=.1-.05 | | 2x^3+x^2=15x | | 4t=3 | | -3(2p+5)-10=-2(p+6)+3 | | t+3=4 | | -16x^2+107x+36=h | | 7+(6y-7)=-9+9y | | 7k+7+3k=5k-3 | | 4-0.0025x=0.1-0.05x | | 5x+5y=20+3x | | 0.25x^4-x^3+5x-1=0 | | 7+(6y-7)=-9-9y | | -11.0x-2.1=-2.1x+3.3 | | 4(7a-3)-(a+16)= | | 5y=20+-2 | | 5y=20-2x | | 21+3x-12=4x-20 | | 5x-18=2x+27 | | 4x+2(x+3)=42 | | 17+3(z-2)-11z=-7(z+2)14 | | 20-F=17 |