If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 27x + -5 = 0 Reorder the terms: -5 + 27x + 6x2 = 0 Solving -5 + 27x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.8333333333 + 4.5x + x2 = 0 Move the constant term to the right: Add '0.8333333333' to each side of the equation. -0.8333333333 + 4.5x + 0.8333333333 + x2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + 4.5x + x2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + 4.5x + x2 = 0 + 0.8333333333 4.5x + x2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 4.5x + x2 = 0.8333333333 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = 0.8333333333 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = 0.8333333333 + 5.0625 Combine like terms: 0.8333333333 + 5.0625 = 5.8958333333 5.0625 + 4.5x + x2 = 5.8958333333 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = 5.8958333333 Calculate the square root of the right side: 2.428133714 Break this problem into two subproblems by setting (x + 2.25) equal to 2.428133714 and -2.428133714.Subproblem 1
x + 2.25 = 2.428133714 Simplifying x + 2.25 = 2.428133714 Reorder the terms: 2.25 + x = 2.428133714 Solving 2.25 + x = 2.428133714 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = 2.428133714 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = 2.428133714 + -2.25 x = 2.428133714 + -2.25 Combine like terms: 2.428133714 + -2.25 = 0.178133714 x = 0.178133714 Simplifying x = 0.178133714Subproblem 2
x + 2.25 = -2.428133714 Simplifying x + 2.25 = -2.428133714 Reorder the terms: 2.25 + x = -2.428133714 Solving 2.25 + x = -2.428133714 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x = -2.428133714 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x = -2.428133714 + -2.25 x = -2.428133714 + -2.25 Combine like terms: -2.428133714 + -2.25 = -4.678133714 x = -4.678133714 Simplifying x = -4.678133714Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.178133714, -4.678133714}
| 2x+3=3(x+4) | | 17n=3n-2 | | 11/x-9/4x=12 | | x^2-3200x-129600=0 | | 7x+89=180 | | 2(2w+2)=6w-6 | | -2(3x-6)=-44 | | log(8x+1)-log(4x-1)=1 | | 52+3x-10=180 | | -133x=51+7x | | 7.2-12=4.2-x | | 0.5x+0.25=0 | | 24=(3)2l+(4)2w | | 5v-2v=24 | | 3x+6=6x-6 | | -4.9t^2-4t+200=0 | | -152-12x=4x+72 | | 4(1+x)=12 | | (x-6)-(6x+3)=(x-6)+(-6x-3) | | 112+4x+3x-12=180 | | 2(z+1)=6z-46 | | 2(3x+4)+11=31 | | 0.5x+0.75=0 | | 13-s=3 | | -4.9t^2-2t+100=0 | | 8x+7-2=4x+3 | | m-2/3=-¹/³ | | 48/12 | | z^2+64= | | -1/2×-7=-11 | | x+3=3(11-3x) | | n/16=4 |