If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3a2 + -6a = 15 Reorder the terms: -6a + 3a2 = 15 Solving -6a + 3a2 = 15 Solving for variable 'a'. Reorder the terms: -15 + -6a + 3a2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -6a + 3a2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -2a + a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2a + a2)' equal to zero and attempt to solve: Simplifying -5 + -2a + a2 = 0 Solving -5 + -2a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + -2a + 5 + a2 = 0 + 5 Reorder the terms: -5 + 5 + -2a + a2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2a + a2 = 0 + 5 -2a + a2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2a + a2 = 5 The a term is -2a. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2a + 1 + a2 = 5 + 1 Reorder the terms: 1 + -2a + a2 = 5 + 1 Combine like terms: 5 + 1 = 6 1 + -2a + a2 = 6 Factor a perfect square on the left side: (a + -1)(a + -1) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (a + -1) equal to 2.449489743 and -2.449489743.Subproblem 1
a + -1 = 2.449489743 Simplifying a + -1 = 2.449489743 Reorder the terms: -1 + a = 2.449489743 Solving -1 + a = 2.449489743 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 2.449489743 + 1 Combine like terms: -1 + 1 = 0 0 + a = 2.449489743 + 1 a = 2.449489743 + 1 Combine like terms: 2.449489743 + 1 = 3.449489743 a = 3.449489743 Simplifying a = 3.449489743Subproblem 2
a + -1 = -2.449489743 Simplifying a + -1 = -2.449489743 Reorder the terms: -1 + a = -2.449489743 Solving -1 + a = -2.449489743 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = -2.449489743 + 1 Combine like terms: -1 + 1 = 0 0 + a = -2.449489743 + 1 a = -2.449489743 + 1 Combine like terms: -2.449489743 + 1 = -1.449489743 a = -1.449489743 Simplifying a = -1.449489743Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.449489743, -1.449489743}Solution
a = {3.449489743, -1.449489743}
| 6x+9-1+4-5=61 | | 67=8x+3 | | 9a=5a-18 | | x+x+x+x+x+x+19=67 | | 2x+14=-2(X-3) | | 16x^2+41x+14=0 | | 43-x=18 | | 4w-4=-12 | | 5(x+2)=2 | | x^2=-5x+5 | | 5(g+3)=3(2g-7) | | 36x^2-60+25=0 | | 8x-4=3x(2) | | 7(t-3)=6t+21 | | 37=15a-a-3 | | 12d+(12-8)= | | 6(2)+2(x)=12+2x | | -2d^2+6d+4=0 | | 10x-2=x+15 | | 6y^2-20y+4=0 | | 5c^2+6c-8=0 | | -20x+20=400 | | 6x-3=x+15 | | 5n+4n=6a | | 10x+16=156 | | g(x)=x^2-xh(x)=x+2/3 | | 3g+7=7+3g | | 4a+5a-2(2a)+35= | | 130+x=530 | | -5t-15t=1 | | 0=x^2+x-600 | | 8-3x=44 |