If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16x2 + -60x + 6 = 0 Reorder the terms: 6 + -60x + -16x2 = 0 Solving 6 + -60x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -30x + -8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -30x + -8x2)' equal to zero and attempt to solve: Simplifying 3 + -30x + -8x2 = 0 Solving 3 + -30x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -0.375 + 3.75x + x2 = 0 Move the constant term to the right: Add '0.375' to each side of the equation. -0.375 + 3.75x + 0.375 + x2 = 0 + 0.375 Reorder the terms: -0.375 + 0.375 + 3.75x + x2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + 3.75x + x2 = 0 + 0.375 3.75x + x2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 3.75x + x2 = 0.375 The x term is 3.75x. Take half its coefficient (1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. 3.75x + 3.515625 + x2 = 0.375 + 3.515625 Reorder the terms: 3.515625 + 3.75x + x2 = 0.375 + 3.515625 Combine like terms: 0.375 + 3.515625 = 3.890625 3.515625 + 3.75x + x2 = 3.890625 Factor a perfect square on the left side: (x + 1.875)(x + 1.875) = 3.890625 Calculate the square root of the right side: 1.97246673 Break this problem into two subproblems by setting (x + 1.875) equal to 1.97246673 and -1.97246673.Subproblem 1
x + 1.875 = 1.97246673 Simplifying x + 1.875 = 1.97246673 Reorder the terms: 1.875 + x = 1.97246673 Solving 1.875 + x = 1.97246673 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.875' to each side of the equation. 1.875 + -1.875 + x = 1.97246673 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + x = 1.97246673 + -1.875 x = 1.97246673 + -1.875 Combine like terms: 1.97246673 + -1.875 = 0.09746673 x = 0.09746673 Simplifying x = 0.09746673Subproblem 2
x + 1.875 = -1.97246673 Simplifying x + 1.875 = -1.97246673 Reorder the terms: 1.875 + x = -1.97246673 Solving 1.875 + x = -1.97246673 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.875' to each side of the equation. 1.875 + -1.875 + x = -1.97246673 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + x = -1.97246673 + -1.875 x = -1.97246673 + -1.875 Combine like terms: -1.97246673 + -1.875 = -3.84746673 x = -3.84746673 Simplifying x = -3.84746673Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.09746673, -3.84746673}Solution
x = {0.09746673, -3.84746673}
| x^2+16x-78=0 | | 18s^3=-50s | | 2x-y+17=0 | | 5-5x=0 | | x^2+10x-119=0 | | 5-9=3 | | -5+(-15d+1)=2(7d-16)-d | | 21x-5-16x+2=17x-9-12x+15 | | 6x-16=-96 | | 3(c+5)= | | 4r=-28 | | 23b-19b= | | (10x+3)=(15x-7) | | 15x+14y+27x=0 | | 14x-7=12x+3 | | 9y+11y= | | y=100 | | (4t+16)=(5t-21) | | a-3.5=19.5 | | x=4-2x | | 2a-21.2=a+1.8 | | 9x-8+4x=13x-8 | | 3(2x+5)=2(4x-5)3x | | X(x-15)=35 | | 4n+5(7n-3)=9(n-5) | | (6a-4)=(4a+36) | | 6x=7x-9 | | 4x(x+5)-11=4x^2+17x+1 | | 2.3x+6=-4.3x+9 | | 30(x-5)=30 | | 5w+3w=24 | | 5r^2+12z+4=0 |