If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (6x2) + 9x + -67 = 0 Reorder the terms: -67 + 9x + (6x2) = 0 Solving -67 + 9x + (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'. -11.16666667 + 1.5x + x2 = 0 Move the constant term to the right: Add '11.16666667' to each side of the equation. -11.16666667 + 1.5x + 11.16666667 + x2 = 0 + 11.16666667 Reorder the terms: -11.16666667 + 11.16666667 + 1.5x + x2 = 0 + 11.16666667 Combine like terms: -11.16666667 + 11.16666667 = 0.00000000 0.00000000 + 1.5x + x2 = 0 + 11.16666667 1.5x + x2 = 0 + 11.16666667 Combine like terms: 0 + 11.16666667 = 11.16666667 1.5x + x2 = 11.16666667 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 = 11.16666667 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 11.16666667 + 0.5625 Combine like terms: 11.16666667 + 0.5625 = 11.72916667 0.5625 + 1.5x + x2 = 11.72916667 Factor a perfect square on the left side: ((x) + 0.75)((x) + 0.75) = 11.72916667 Calculate the square root of the right side: 3.424787098 Break this problem into two subproblems by setting ((x) + 0.75) equal to 3.424787098 and -3.424787098.Subproblem 1
(x) + 0.75 = 3.424787098 Simplifying (x) + 0.75 = 3.424787098 x + 0.75 = 3.424787098 Reorder the terms: 0.75 + x = 3.424787098 Solving 0.75 + x = 3.424787098 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 = 3.424787098 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 3.424787098 + -0.75 x = 3.424787098 + -0.75 Combine like terms: 3.424787098 + -0.75 = 2.674787098 x = 2.674787098 Simplifying x = 2.674787098Subproblem 2
(x) + 0.75 = -3.424787098 Simplifying (x) + 0.75 = -3.424787098 x + 0.75 = -3.424787098 Reorder the terms: 0.75 + x = -3.424787098 Solving 0.75 + x = -3.424787098 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 = -3.424787098 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -3.424787098 + -0.75 x = -3.424787098 + -0.75 Combine like terms: -3.424787098 + -0.75 = -4.174787098 x = -4.174787098 Simplifying x = -4.174787098Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.674787098, -4.174787098}
| 25-.5x=16.50 | | 28=3q-8 | | -53286.6x^2+1801087.1x-10146123.8=0 | | -3(-4-b)=5-2b | | -7u^6(-3u^2)= | | 8w-w=49 | | 17=2k+5 | | 2=14-6s | | -51x^2+11x+6=0 | | 7.5(3*7+4)= | | (3n+22)+(5n+38)=180 | | 294u-50=70 | | 6=4(v+6)-6v | | 32-6b-5b=6.25 | | 44=3q+14 | | 18=r-8 | | v-3v=-5 | | 5x+15=-46-10x | | 39=6r+9 | | 7.5(3x+4)= | | 2(x+4)=(x-5)-9 | | 37=x-(-9) | | (2x-5)(3x+10)(x-5)=180 | | 8y+6=48 | | 5=w-8 | | 34-6t=t | | 12=4k+2k-18 | | 5(1+3m)=110 | | 24=4+5u | | 3y-3=7x | | 68=x^2+3x+40 | | 3.14*144= |