If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6X2 + 62X = -44 Reorder the terms: 62X + 6X2 = -44 Solving 62X + 6X2 = -44 Solving for variable 'X'. Reorder the terms: 44 + 62X + 6X2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + 62X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 31X + 3X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(22 + 31X + 3X2)' equal to zero and attempt to solve: Simplifying 22 + 31X + 3X2 = 0 Solving 22 + 31X + 3X2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7.333333333 + 10.33333333X + X2 = 0 Move the constant term to the right: Add '-7.333333333' to each side of the equation. 7.333333333 + 10.33333333X + -7.333333333 + X2 = 0 + -7.333333333 Reorder the terms: 7.333333333 + -7.333333333 + 10.33333333X + X2 = 0 + -7.333333333 Combine like terms: 7.333333333 + -7.333333333 = 0.000000000 0.000000000 + 10.33333333X + X2 = 0 + -7.333333333 10.33333333X + X2 = 0 + -7.333333333 Combine like terms: 0 + -7.333333333 = -7.333333333 10.33333333X + X2 = -7.333333333 The X term is 10.33333333X. Take half its coefficient (5.166666665). Square it (26.69444443) and add it to both sides. Add '26.69444443' to each side of the equation. 10.33333333X + 26.69444443 + X2 = -7.333333333 + 26.69444443 Reorder the terms: 26.69444443 + 10.33333333X + X2 = -7.333333333 + 26.69444443 Combine like terms: -7.333333333 + 26.69444443 = 19.361111097 26.69444443 + 10.33333333X + X2 = 19.361111097 Factor a perfect square on the left side: (X + 5.166666665)(X + 5.166666665) = 19.361111097 Calculate the square root of the right side: 4.400126259 Break this problem into two subproblems by setting (X + 5.166666665) equal to 4.400126259 and -4.400126259.Subproblem 1
X + 5.166666665 = 4.400126259 Simplifying X + 5.166666665 = 4.400126259 Reorder the terms: 5.166666665 + X = 4.400126259 Solving 5.166666665 + X = 4.400126259 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5.166666665' to each side of the equation. 5.166666665 + -5.166666665 + X = 4.400126259 + -5.166666665 Combine like terms: 5.166666665 + -5.166666665 = 0.000000000 0.000000000 + X = 4.400126259 + -5.166666665 X = 4.400126259 + -5.166666665 Combine like terms: 4.400126259 + -5.166666665 = -0.766540406 X = -0.766540406 Simplifying X = -0.766540406Subproblem 2
X + 5.166666665 = -4.400126259 Simplifying X + 5.166666665 = -4.400126259 Reorder the terms: 5.166666665 + X = -4.400126259 Solving 5.166666665 + X = -4.400126259 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5.166666665' to each side of the equation. 5.166666665 + -5.166666665 + X = -4.400126259 + -5.166666665 Combine like terms: 5.166666665 + -5.166666665 = 0.000000000 0.000000000 + X = -4.400126259 + -5.166666665 X = -4.400126259 + -5.166666665 Combine like terms: -4.400126259 + -5.166666665 = -9.566792924 X = -9.566792924 Simplifying X = -9.566792924Solution
The solution to the problem is based on the solutions from the subproblems. X = {-0.766540406, -9.566792924}Solution
X = {-0.766540406, -9.566792924}
| y=-1/2(2)-1 | | 21+6b=7(3-6b) | | -3+1(-24)=-5 | | 18-5-4a=-36 | | 8x+15=81 | | 2c+7+c=14+3c+21 | | -2+2x=0 | | -3x+(-24)=-5 | | 20b=-6 | | 4x+4.5=5x-4.5 | | 6(-6+3n)=-90 | | 4+10h=3b-25 | | -36-x=-2x | | -2p+8=6-(8p+2) | | 9=7-2x | | -2+5x=16+8 | | 6x^4+6x-42=0 | | -6(2x-2)=-12x+12 | | 61=3v+10 | | 10x-8y-9z=0 | | 0.50(2x-6)=4(x-1) | | 21+6x=y | | 51=3.50p+5.50+6 | | x^2-50x+25=0 | | 2x+4y+3z=3 | | 21x^2y-15xy^2+9x^2y^2= | | -6n-(8n-5)=14-n | | x^2-6x=x(3+x) | | -6n-(8n-5)=14-2 | | w+13=10 | | d+9=35 | | a^2-48=0 |