If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 72 = 6x2 + 21x + 18 Reorder the terms: 72 = 18 + 21x + 6x2 Solving 72 = 18 + 21x + 6x2 Solving for variable 'x'. Combine like terms: 72 + -18 = 54 54 + -21x + -6x2 = 18 + 21x + 6x2 + -18 + -21x + -6x2 Reorder the terms: 54 + -21x + -6x2 = 18 + -18 + 21x + -21x + 6x2 + -6x2 Combine like terms: 18 + -18 = 0 54 + -21x + -6x2 = 0 + 21x + -21x + 6x2 + -6x2 54 + -21x + -6x2 = 21x + -21x + 6x2 + -6x2 Combine like terms: 21x + -21x = 0 54 + -21x + -6x2 = 0 + 6x2 + -6x2 54 + -21x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 54 + -21x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(18 + -7x + -2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(18 + -7x + -2x2)' equal to zero and attempt to solve: Simplifying 18 + -7x + -2x2 = 0 Solving 18 + -7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -9 + 3.5x + x2 = 0 Move the constant term to the right: Add '9' to each side of the equation. -9 + 3.5x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + 3.5x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3.5x + x2 = 0 + 9 3.5x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 3.5x + x2 = 9 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = 9 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = 9 + 3.0625 Combine like terms: 9 + 3.0625 = 12.0625 3.0625 + 3.5x + x2 = 12.0625 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = 12.0625 Calculate the square root of the right side: 3.473110997 Break this problem into two subproblems by setting (x + 1.75) equal to 3.473110997 and -3.473110997.Subproblem 1
x + 1.75 = 3.473110997 Simplifying x + 1.75 = 3.473110997 Reorder the terms: 1.75 + x = 3.473110997 Solving 1.75 + x = 3.473110997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = 3.473110997 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = 3.473110997 + -1.75 x = 3.473110997 + -1.75 Combine like terms: 3.473110997 + -1.75 = 1.723110997 x = 1.723110997 Simplifying x = 1.723110997Subproblem 2
x + 1.75 = -3.473110997 Simplifying x + 1.75 = -3.473110997 Reorder the terms: 1.75 + x = -3.473110997 Solving 1.75 + x = -3.473110997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = -3.473110997 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = -3.473110997 + -1.75 x = -3.473110997 + -1.75 Combine like terms: -3.473110997 + -1.75 = -5.223110997 x = -5.223110997 Simplifying x = -5.223110997Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.723110997, -5.223110997}Solution
x = {1.723110997, -5.223110997}
| 3x+20=-2x+55 | | 6x^2-13x+15=0 | | 12x-5g=33 | | (3x+1)(2x+7)= | | 3x+7=4x-3+15 | | 3x+25=-x+5 | | 0.03x=2+0.01x | | 10-3x+3=4-2(x-3) | | 10+0.10x=0.35x | | x^2-2x=65 | | 15-3y=3y-12 | | c+(4-3c)-2= | | x+516= | | 0.6y+y=y | | h=-16t^2+36t-10 | | 4x^2+xy+4y^2=0 | | 3x(x-2)=18 | | -42=-8z | | 5d+20=7d-14 | | 7+n/(-2)=6 | | (5ab+2a^2b^4)+(2a^2b^4-5ab)= | | 5x+3-2x+10+8x=123 | | n+(n+1)+(n+2)=-33 | | 3y=-9x | | x/3-3=0 | | y^2-6Y+18=0 | | 0.29x^2-4x=-8 | | 4x+8=-2y | | 3c^2+7c-2=0 | | 3=14x-4 | | 8u^6*3u^3= | | 6x=38 |