If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x = -16x2 + 16x + 192 Reorder the terms: x = 192 + 16x + -16x2 Solving x = 192 + 16x + -16x2 Solving for variable 'x'. Reorder the terms: -192 + x + -16x + 16x2 = 192 + 16x + -16x2 + -192 + -16x + 16x2 Combine like terms: x + -16x = -15x -192 + -15x + 16x2 = 192 + 16x + -16x2 + -192 + -16x + 16x2 Reorder the terms: -192 + -15x + 16x2 = 192 + -192 + 16x + -16x + -16x2 + 16x2 Combine like terms: 192 + -192 = 0 -192 + -15x + 16x2 = 0 + 16x + -16x + -16x2 + 16x2 -192 + -15x + 16x2 = 16x + -16x + -16x2 + 16x2 Combine like terms: 16x + -16x = 0 -192 + -15x + 16x2 = 0 + -16x2 + 16x2 -192 + -15x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -192 + -15x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -12 + -0.9375x + x2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + -0.9375x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + -0.9375x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -0.9375x + x2 = 0 + 12 -0.9375x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -0.9375x + x2 = 12 The x term is -0.9375x. Take half its coefficient (-0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. -0.9375x + 0.2197265625 + x2 = 12 + 0.2197265625 Reorder the terms: 0.2197265625 + -0.9375x + x2 = 12 + 0.2197265625 Combine like terms: 12 + 0.2197265625 = 12.2197265625 0.2197265625 + -0.9375x + x2 = 12.2197265625 Factor a perfect square on the left side: (x + -0.46875)(x + -0.46875) = 12.2197265625 Calculate the square root of the right side: 3.495672548 Break this problem into two subproblems by setting (x + -0.46875) equal to 3.495672548 and -3.495672548.Subproblem 1
x + -0.46875 = 3.495672548 Simplifying x + -0.46875 = 3.495672548 Reorder the terms: -0.46875 + x = 3.495672548 Solving -0.46875 + x = 3.495672548 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.46875' to each side of the equation. -0.46875 + 0.46875 + x = 3.495672548 + 0.46875 Combine like terms: -0.46875 + 0.46875 = 0.00000 0.00000 + x = 3.495672548 + 0.46875 x = 3.495672548 + 0.46875 Combine like terms: 3.495672548 + 0.46875 = 3.964422548 x = 3.964422548 Simplifying x = 3.964422548Subproblem 2
x + -0.46875 = -3.495672548 Simplifying x + -0.46875 = -3.495672548 Reorder the terms: -0.46875 + x = -3.495672548 Solving -0.46875 + x = -3.495672548 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.46875' to each side of the equation. -0.46875 + 0.46875 + x = -3.495672548 + 0.46875 Combine like terms: -0.46875 + 0.46875 = 0.00000 0.00000 + x = -3.495672548 + 0.46875 x = -3.495672548 + 0.46875 Combine like terms: -3.495672548 + 0.46875 = -3.026922548 x = -3.026922548 Simplifying x = -3.026922548Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.964422548, -3.026922548}
| 11x+13y+17z=132 | | 16-p=13 | | 20s-12+s+24+111+s+50+s+49=360 | | 3(5-y)=8-4y | | log(10)(x+7)-log(10)(x-7)=1 | | S+24+20s-12+111+s+50+s+49=360 | | 9h=2 | | S+7500=18000 | | -3x+5=-15+x | | -16x^2+168t=441 | | 19d-17d=18 | | -15+3x=66+-6x | | 3x+5=-15+x | | 5x+6=-2x+5 | | 5(c+7)-8x+12= | | 9y+9=5(y+9) | | 3x-7+2x+10-4= | | 4x+13=75 | | 2w^3-7w^2=15w | | 12m-7=9m-1 | | 4-6x=.50(4x+40) | | T/4=64 | | 4*36x= | | 1000(.119x^2-.162x+.055)=0 | | 25=3+2x | | 8x+100=180 | | 14c+7=35 | | 5n+14=164 | | (x^2+2*y^2)dx+(2*x^2+y^2)dy=0 | | 3x-Y=-27 | | 33=2X+17 | | h(x)=(0)2+3x+-18x |