If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4x2 + x = -17 Reorder the terms: x + -4x2 = -17 Solving x + -4x2 = -17 Solving for variable 'x'. Reorder the terms: 17 + x + -4x2 = -17 + 17 Combine like terms: -17 + 17 = 0 17 + x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -4.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '4.25' to each side of the equation. -4.25 + -0.25x + 4.25 + x2 = 0 + 4.25 Reorder the terms: -4.25 + 4.25 + -0.25x + x2 = 0 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + -0.25x + x2 = 0 + 4.25 -0.25x + x2 = 0 + 4.25 Combine like terms: 0 + 4.25 = 4.25 -0.25x + x2 = 4.25 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25x + 0.25 + x2 = 4.25 + 0.25 Reorder the terms: 0.25 + -0.25x + x2 = 4.25 + 0.25 Combine like terms: 4.25 + 0.25 = 4.5 0.25 + -0.25x + x2 = 4.5 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 4.5 Calculate the square root of the right side: 2.121320344 Break this problem into two subproblems by setting (x + 0.5) equal to 2.121320344 and -2.121320344.Subproblem 1
x + 0.5 = 2.121320344 Simplifying x + 0.5 = 2.121320344 Reorder the terms: 0.5 + x = 2.121320344 Solving 0.5 + x = 2.121320344 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 2.121320344 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.121320344 + -0.5 x = 2.121320344 + -0.5 Combine like terms: 2.121320344 + -0.5 = 1.621320344 x = 1.621320344 Simplifying x = 1.621320344Subproblem 2
x + 0.5 = -2.121320344 Simplifying x + 0.5 = -2.121320344 Reorder the terms: 0.5 + x = -2.121320344 Solving 0.5 + x = -2.121320344 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -2.121320344 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.121320344 + -0.5 x = -2.121320344 + -0.5 Combine like terms: -2.121320344 + -0.5 = -2.621320344 x = -2.621320344 Simplifying x = -2.621320344Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.621320344, -2.621320344}
| 38.06+x=91.5 | | 0.1x+2.11=-0.3x+6.71 | | 4k^2+9k+3=-2 | | x-12.3=-6.28 | | x^2+12x-45= | | 5.5+0.7x=0.6 | | 3x^2-14x+15= | | 8x-5=10x-9 | | 3(x+1.66)=2x | | 36x^2=81 | | 700x-0.26=500x+0.86 | | 6y^2-29y=5 | | 700x-0.79=900x+0.69 | | 3x^3-100x= | | 10a^2-18a-4=0 | | 5(x+4)+10=9x-4((x)-(3)) | | 17x+9y-3x+19y= | | 5(x+4)+10=9x-4(x-3) | | 6(2p-12)=10p+3 | | 3x-4+7=16 | | (-5+6)+9n= | | 16x=3x | | 8-3(x+6)=3x+12 | | (8x-7)-3(14+1)=-30x-2(x+3)s | | 181-5x=40x+16 | | 2w^2=9w-9 | | 4x+3=3x+10 | | a^2+12a+11=0 | | (2x+9)(2x+6)=108 | | 2m+10+2=5 | | a^2+12a+20=0 | | 4t^2-3t^2=5-3t^2 |