If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16x2 + 21x + 24 = 0 Reorder the terms: 24 + 21x + -16x2 = 0 Solving 24 + 21x + -16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -1.5 + -1.3125x + x2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -1.3125x + 1.5 + x2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -1.3125x + x2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.3125x + x2 = 0 + 1.5 -1.3125x + x2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -1.3125x + x2 = 1.5 The x term is -1.3125x. Take half its coefficient (-0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. -1.3125x + 0.4306640625 + x2 = 1.5 + 0.4306640625 Reorder the terms: 0.4306640625 + -1.3125x + x2 = 1.5 + 0.4306640625 Combine like terms: 1.5 + 0.4306640625 = 1.9306640625 0.4306640625 + -1.3125x + x2 = 1.9306640625 Factor a perfect square on the left side: (x + -0.65625)(x + -0.65625) = 1.9306640625 Calculate the square root of the right side: 1.38948338 Break this problem into two subproblems by setting (x + -0.65625) equal to 1.38948338 and -1.38948338.Subproblem 1
x + -0.65625 = 1.38948338 Simplifying x + -0.65625 = 1.38948338 Reorder the terms: -0.65625 + x = 1.38948338 Solving -0.65625 + x = 1.38948338 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + x = 1.38948338 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + x = 1.38948338 + 0.65625 x = 1.38948338 + 0.65625 Combine like terms: 1.38948338 + 0.65625 = 2.04573338 x = 2.04573338 Simplifying x = 2.04573338Subproblem 2
x + -0.65625 = -1.38948338 Simplifying x + -0.65625 = -1.38948338 Reorder the terms: -0.65625 + x = -1.38948338 Solving -0.65625 + x = -1.38948338 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + x = -1.38948338 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + x = -1.38948338 + 0.65625 x = -1.38948338 + 0.65625 Combine like terms: -1.38948338 + 0.65625 = -0.73323338 x = -0.73323338 Simplifying x = -0.73323338Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.04573338, -0.73323338}
| -11.9=16.2+a | | 0.333z-4=-0.333z+18 | | 2=3+-13 | | 0.5d=2-0.5d | | 3x=84 | | y=-x+1.4 | | x^3+x^2+x=0 | | 96=x+x^5 | | 17-b=4 | | 8y-5=2n+20-5 | | p^2-1-4q^2-4q=0 | | 2g+3g+5=o | | ac-b= | | 8a+5b= | | 6(1-4)-1=8 | | -39x+-9=-17 | | 14+-35=-24 | | 17=2(3x+1) | | 2x-y=-4 | | 22x+30=558 | | -34x-16=52 | | x=-6y-2 | | -8x=1 | | 4u-8=-5(1-u) | | 4x=-5y | | 13x+8=65+x | | 18=9d-8 | | X+2y=-7 | | 4x+32=12x-32 | | 0=x^2+5x-3 | | Y=x^2+5x-3 | | 3(x^2-1)=9 |