If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8c2 + -28 + 4c + -14 = 0 Reorder the terms: -28 + -14 + 4c + 8c2 = 0 Combine like terms: -28 + -14 = -42 -42 + 4c + 8c2 = 0 Solving -42 + 4c + 8c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 2c + 4c2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + 2c + 4c2)' equal to zero and attempt to solve: Simplifying -21 + 2c + 4c2 = 0 Solving -21 + 2c + 4c2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -5.25 + 0.5c + c2 = 0 Move the constant term to the right: Add '5.25' to each side of the equation. -5.25 + 0.5c + 5.25 + c2 = 0 + 5.25 Reorder the terms: -5.25 + 5.25 + 0.5c + c2 = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 0.5c + c2 = 0 + 5.25 0.5c + c2 = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 0.5c + c2 = 5.25 The c term is 0.5c. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5c + 0.0625 + c2 = 5.25 + 0.0625 Reorder the terms: 0.0625 + 0.5c + c2 = 5.25 + 0.0625 Combine like terms: 5.25 + 0.0625 = 5.3125 0.0625 + 0.5c + c2 = 5.3125 Factor a perfect square on the left side: (c + 0.25)(c + 0.25) = 5.3125 Calculate the square root of the right side: 2.304886114 Break this problem into two subproblems by setting (c + 0.25) equal to 2.304886114 and -2.304886114.Subproblem 1
c + 0.25 = 2.304886114 Simplifying c + 0.25 = 2.304886114 Reorder the terms: 0.25 + c = 2.304886114 Solving 0.25 + c = 2.304886114 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + c = 2.304886114 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + c = 2.304886114 + -0.25 c = 2.304886114 + -0.25 Combine like terms: 2.304886114 + -0.25 = 2.054886114 c = 2.054886114 Simplifying c = 2.054886114Subproblem 2
c + 0.25 = -2.304886114 Simplifying c + 0.25 = -2.304886114 Reorder the terms: 0.25 + c = -2.304886114 Solving 0.25 + c = -2.304886114 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + c = -2.304886114 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + c = -2.304886114 + -0.25 c = -2.304886114 + -0.25 Combine like terms: -2.304886114 + -0.25 = -2.554886114 c = -2.554886114 Simplifying c = -2.554886114Solution
The solution to the problem is based on the solutions from the subproblems. c = {2.054886114, -2.554886114}Solution
c = {2.054886114, -2.554886114}
| 9x^2+1x-5=0 | | 9y=1-3y-5 | | 1.6=2y+9.4 | | (11y/10)-2=(9y/8) | | -7+1=-8x+7 | | 8x+10=5x+31 | | -23x+97=-23 | | 455p-180= | | (6x)+(3x)+(2x)=972 | | (h-4)=0+(12.5)(0.9238)+0.5(-32.2)(0.8534) | | 5a+3=15 | | 5a+3=20 | | 9x-20=5x+28 | | 6x+3x+2x=972 | | 8/6*x=16 | | 8-4(x+3)=28 | | 3b+8=2 | | -2(x-1)=10x | | 3x^2+13x-28=2x^2+12 | | 7z+13=34 | | -1.6(y+1.6)=-0.8(y-1.3) | | (h-4)=0+(11.5475)+0.5(9.81)(0.8534) | | 18=3v-15 | | 4a+5=7 | | 6(x+11)=96 | | 2w+20=8w+30 | | (9u^3w-3u)/9u^2y | | 9(3x-5)=-18 | | x/10-7=-3 | | 5(8x-1)=35 | | 6ab-10ab^2= | | x/10-=-3 |