If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x2 + 60x = -125 Reorder the terms: 60x + 5x2 = -125 Solving 60x + 5x2 = -125 Solving for variable 'x'. Reorder the terms: 125 + 60x + 5x2 = -125 + 125 Combine like terms: -125 + 125 = 0 125 + 60x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 12x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(25 + 12x + x2)' equal to zero and attempt to solve: Simplifying 25 + 12x + x2 = 0 Solving 25 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 12x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 12x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 12x + x2 = 0 + -25 12x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 12x + x2 = -25 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -25 + 36 Reorder the terms: 36 + 12x + x2 = -25 + 36 Combine like terms: -25 + 36 = 11 36 + 12x + x2 = 11 Factor a perfect square on the left side: (x + 6)(x + 6) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (x + 6) equal to 3.31662479 and -3.31662479.Subproblem 1
x + 6 = 3.31662479 Simplifying x + 6 = 3.31662479 Reorder the terms: 6 + x = 3.31662479 Solving 6 + x = 3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 3.31662479 + -6 Combine like terms: 6 + -6 = 0 0 + x = 3.31662479 + -6 x = 3.31662479 + -6 Combine like terms: 3.31662479 + -6 = -2.68337521 x = -2.68337521 Simplifying x = -2.68337521Subproblem 2
x + 6 = -3.31662479 Simplifying x + 6 = -3.31662479 Reorder the terms: 6 + x = -3.31662479 Solving 6 + x = -3.31662479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = -3.31662479 + -6 Combine like terms: 6 + -6 = 0 0 + x = -3.31662479 + -6 x = -3.31662479 + -6 Combine like terms: -3.31662479 + -6 = -9.31662479 x = -9.31662479 Simplifying x = -9.31662479Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.68337521, -9.31662479}Solution
x = {-2.68337521, -9.31662479}
| -2(7+7a)=30-3a | | 4(-1-a)=-7a+14 | | 1.16666667y-12=-5 | | 1+5(x+3)=26 | | 28xy^2z^4+30yz=2yxz(14yz^3+15) | | -38+8r=3r-2(5-6r) | | -11-3x=7(3-5x) | | -4-6x=-2(-4+2x) | | w^2-7w=2 | | 9x+6-7(x+1)=8x+4 | | (y-5)(y-2)-28=0 | | 0.8x-10=2.3x-19 | | p+4p=-14+3p | | 0.2-1=2.7x-16 | | t+10+-4t=-11 | | 4x+6y=2y+12 | | 0.35x=2.52+0.08x | | 7+2(2v-2)=7+4v | | 2x^3-16x^2+30x=0 | | 3(x+3)+2=3x+6 | | 6x^2+27x+30=0 | | 0.2x-2=2.7x-16 | | 9x^4-36x^3+45x^2=0 | | .8x-8=2.3-20 | | 2m^2+5m=-1 | | 5(x-1)=2(2x+10) | | 9q^2-27qb+14b^2=0 | | 8x-(2x-8)=6+5x | | x^3+2x^2-2y^2=y | | x^3+2x^2-2y^2=x | | x^3+2x^2-2y^2=3 | | 9q^2-27qp+14b^2=0 |