If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14x2 + 21x + -10 = 0 Reorder the terms: -10 + 21x + 14x2 = 0 Solving -10 + 21x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. -0.7142857143 + 1.5x + x2 = 0 Move the constant term to the right: Add '0.7142857143' to each side of the equation. -0.7142857143 + 1.5x + 0.7142857143 + x2 = 0 + 0.7142857143 Reorder the terms: -0.7142857143 + 0.7142857143 + 1.5x + x2 = 0 + 0.7142857143 Combine like terms: -0.7142857143 + 0.7142857143 = 0.0000000000 0.0000000000 + 1.5x + x2 = 0 + 0.7142857143 1.5x + x2 = 0 + 0.7142857143 Combine like terms: 0 + 0.7142857143 = 0.7142857143 1.5x + x2 = 0.7142857143 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 0.7142857143 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 0.7142857143 + 0.5625 Combine like terms: 0.7142857143 + 0.5625 = 1.2767857143 0.5625 + 1.5x + x2 = 1.2767857143 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 1.2767857143 Calculate the square root of the right side: 1.12994943 Break this problem into two subproblems by setting (x + 0.75) equal to 1.12994943 and -1.12994943.Subproblem 1
x + 0.75 = 1.12994943 Simplifying x + 0.75 = 1.12994943 Reorder the terms: 0.75 + x = 1.12994943 Solving 0.75 + x = 1.12994943 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 1.12994943 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 1.12994943 + -0.75 x = 1.12994943 + -0.75 Combine like terms: 1.12994943 + -0.75 = 0.37994943 x = 0.37994943 Simplifying x = 0.37994943Subproblem 2
x + 0.75 = -1.12994943 Simplifying x + 0.75 = -1.12994943 Reorder the terms: 0.75 + x = -1.12994943 Solving 0.75 + x = -1.12994943 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -1.12994943 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -1.12994943 + -0.75 x = -1.12994943 + -0.75 Combine like terms: -1.12994943 + -0.75 = -1.87994943 x = -1.87994943 Simplifying x = -1.87994943Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.37994943, -1.87994943}
| -3-9=7x+1-6x | | 7b=-350 | | 4x=-76 | | 8p=-400 | | 8r=184 | | (5u^2-17)-(-3u^3+7u^2-8u)= | | 10x+8-9x=17 | | 22y-8y^2+13y^2-7y-4y= | | 5x+5-2x=15 | | w-6=-3 | | -3x-3x=32-2 | | 2z=14-18 | | d+7=-30 | | x=2x-45-6 | | 72=3x^2+6x | | n+9=-29 | | 3w-7w=36 | | b^2-6b-7=0 | | -3+8=m-4 | | x*100-1900+y=5108 | | x*100-1900+y=2389200 | | x-8=-2+7 | | 3.13=28.26 | | 6=324 | | 15=2000 | | 190.5=1.5b^2 | | 10k-2-3= | | d-10=-3 | | 5p^2=315 | | (n^2-3n)-(x^2-3x)=32 | | x*100-1900+y=2005 | | 10+2x=70 |