If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 12x + -420 = 0 Reorder the terms: -420 + 12x + 6x2 = 0 Solving -420 + 12x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-70 + 2x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-70 + 2x + x2)' equal to zero and attempt to solve: Simplifying -70 + 2x + x2 = 0 Solving -70 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '70' to each side of the equation. -70 + 2x + 70 + x2 = 0 + 70 Reorder the terms: -70 + 70 + 2x + x2 = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 2x + x2 = 0 + 70 2x + x2 = 0 + 70 Combine like terms: 0 + 70 = 70 2x + x2 = 70 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 70 + 1 Reorder the terms: 1 + 2x + x2 = 70 + 1 Combine like terms: 70 + 1 = 71 1 + 2x + x2 = 71 Factor a perfect square on the left side: (x + 1)(x + 1) = 71 Calculate the square root of the right side: 8.426149773 Break this problem into two subproblems by setting (x + 1) equal to 8.426149773 and -8.426149773.Subproblem 1
x + 1 = 8.426149773 Simplifying x + 1 = 8.426149773 Reorder the terms: 1 + x = 8.426149773 Solving 1 + x = 8.426149773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 8.426149773 + -1 Combine like terms: 1 + -1 = 0 0 + x = 8.426149773 + -1 x = 8.426149773 + -1 Combine like terms: 8.426149773 + -1 = 7.426149773 x = 7.426149773 Simplifying x = 7.426149773Subproblem 2
x + 1 = -8.426149773 Simplifying x + 1 = -8.426149773 Reorder the terms: 1 + x = -8.426149773 Solving 1 + x = -8.426149773 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -8.426149773 + -1 Combine like terms: 1 + -1 = 0 0 + x = -8.426149773 + -1 x = -8.426149773 + -1 Combine like terms: -8.426149773 + -1 = -9.426149773 x = -9.426149773 Simplifying x = -9.426149773Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.426149773, -9.426149773}Solution
x = {7.426149773, -9.426149773}
| 2(5c-1)-12=8c+2 | | z-14=-22 | | 3x+2-4=-2 | | 3y+2(y-2)=7y-4(y-10) | | 9x-3(6+x)+32= | | 39=3v | | 2+a/4=0 | | 3*m-10=2(4*m-5) | | f(6a)=5(6a)-2 | | 78x^2+58x+c=0 | | 15-2x=-10+3x | | 0.11p+1.5=2.29 | | 7(x+9)=6(x-9)+x | | (6x-2)=3(x+1)+3 | | 3y=2x+5 | | 7(n+4)=3n-8 | | 3n-1=38 | | 14x+5y=294 | | 7(x+6)=(x-7)+x | | 10x-30=11x | | 6d+8.7=d+8.7 | | 3x^2-4=-2 | | 6d+8.8=d+8.7 | | x-4-3*x=-2*x-3-1 | | 2(34)+2(99)=p | | 12-52(45+62)=32 | | -2(x+4)-5=2x+3 | | 12x^2-8+1=0 | | x-5=-4x-5 | | 7+x/3=10 | | 2(x-5)-2=-12 | | -9+11=4+g |