If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -54x + 120 = 0 Reorder the terms: 120 + -54x + 4x2 = 0 Solving 120 + -54x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -27x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(60 + -27x + 2x2)' equal to zero and attempt to solve: Simplifying 60 + -27x + 2x2 = 0 Solving 60 + -27x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 30 + -13.5x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -13.5x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -13.5x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -13.5x + x2 = 0 + -30 -13.5x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -13.5x + x2 = -30 The x term is -13.5x. Take half its coefficient (-6.75). Square it (45.5625) and add it to both sides. Add '45.5625' to each side of the equation. -13.5x + 45.5625 + x2 = -30 + 45.5625 Reorder the terms: 45.5625 + -13.5x + x2 = -30 + 45.5625 Combine like terms: -30 + 45.5625 = 15.5625 45.5625 + -13.5x + x2 = 15.5625 Factor a perfect square on the left side: (x + -6.75)(x + -6.75) = 15.5625 Calculate the square root of the right side: 3.94493346 Break this problem into two subproblems by setting (x + -6.75) equal to 3.94493346 and -3.94493346.Subproblem 1
x + -6.75 = 3.94493346 Simplifying x + -6.75 = 3.94493346 Reorder the terms: -6.75 + x = 3.94493346 Solving -6.75 + x = 3.94493346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.75' to each side of the equation. -6.75 + 6.75 + x = 3.94493346 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + x = 3.94493346 + 6.75 x = 3.94493346 + 6.75 Combine like terms: 3.94493346 + 6.75 = 10.69493346 x = 10.69493346 Simplifying x = 10.69493346Subproblem 2
x + -6.75 = -3.94493346 Simplifying x + -6.75 = -3.94493346 Reorder the terms: -6.75 + x = -3.94493346 Solving -6.75 + x = -3.94493346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.75' to each side of the equation. -6.75 + 6.75 + x = -3.94493346 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + x = -3.94493346 + 6.75 x = -3.94493346 + 6.75 Combine like terms: -3.94493346 + 6.75 = 2.80506654 x = 2.80506654 Simplifying x = 2.80506654Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.69493346, 2.80506654}Solution
x = {10.69493346, 2.80506654}
| 6x+18/3= | | x^2-0.2x+0.001=0 | | 4(3p+15)= | | -7x-7=4-8x | | 2x+6=2x+4 | | 5(3x+5)=130 | | -1t=7 | | 3(x+6)=30 | | 36=5x-3(3x-4) | | 2(x-1)-3x=3(x-6) | | 2x+y-2z=-15 | | 3x-234=4x-9 | | x^3+x^2+6x=0 | | 2y+3(y-1)=15-4y | | 2(0.5x+7)-3(1.5x+5)= | | 5x-3=2.5+x | | (2x+5)(3x-23)=180 | | 13-8x=40-15x | | +9x+24=3x+x+9 | | 2x-9=3x-24 | | +9x+24=3x+9 | | 2x+3x+4x=63 | | 9-4x=-9x-4 | | 27+9x+24=3x+9 | | 5x+40=5x+2 | | (X+9)(x-4)-(x+3)(x+9)= | | 4x^2+25y^2-20xy=2 | | 8z+2=54 | | 4x^2+2y^25-20xy=2 | | 3x+7x=-2-3 | | 9+3x-8=x+(x+9)/3 | | 4x^2+2y^2-20xy=2 |