If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15a4 + 30a3 + -20a2 = 0 Reorder the terms: -20a2 + 30a3 + 15a4 = 0 Solving -20a2 + 30a3 + 15a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2'. 5a2(-4 + 6a + 3a2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-4 + 6a + 3a2)' equal to zero and attempt to solve: Simplifying -4 + 6a + 3a2 = 0 Solving -4 + 6a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + 2a + a2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + 2a + 1.333333333 + a2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + 2a + a2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + 2a + a2 = 0 + 1.333333333 2a + a2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 2a + a2 = 1.333333333 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 = 1.333333333 + 1 Reorder the terms: 1 + 2a + a2 = 1.333333333 + 1 Combine like terms: 1.333333333 + 1 = 2.333333333 1 + 2a + a2 = 2.333333333 Factor a perfect square on the left side: (a + 1)(a + 1) = 2.333333333 Calculate the square root of the right side: 1.527525232 Break this problem into two subproblems by setting (a + 1) equal to 1.527525232 and -1.527525232.Subproblem 1
a + 1 = 1.527525232 Simplifying a + 1 = 1.527525232 Reorder the terms: 1 + a = 1.527525232 Solving 1 + a = 1.527525232 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 = 1.527525232 + -1 Combine like terms: 1 + -1 = 0 0 + a = 1.527525232 + -1 a = 1.527525232 + -1 Combine like terms: 1.527525232 + -1 = 0.527525232 a = 0.527525232 Simplifying a = 0.527525232Subproblem 2
a + 1 = -1.527525232 Simplifying a + 1 = -1.527525232 Reorder the terms: 1 + a = -1.527525232 Solving 1 + a = -1.527525232 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 = -1.527525232 + -1 Combine like terms: 1 + -1 = 0 0 + a = -1.527525232 + -1 a = -1.527525232 + -1 Combine like terms: -1.527525232 + -1 = -2.527525232 a = -2.527525232 Simplifying a = -2.527525232Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.527525232, -2.527525232}Solution
a = {0, 0.527525232, -2.527525232}
| 8x^2-47x=6 | | 9x^2+18x+8=0 | | 110-6*2+x*2= | | 110-6*2+4*2= | | 6p=504 | | .37x-.33x+6=.16x | | 50+9x-19x-30=-10 | | 5x=4x^2-3 | | 1.25+x=27 | | 17(t-6)+4t=7(3t+5)-10 | | -(6y+1)-(-5y-6)=5 | | 3w^2+2=-5 | | -3x^2-10x+8=0 | | .57x=35 | | x-8.9=-5.7 | | r+31=21 | | 4x-34=5 | | 6x=605 | | 3w+8=11 | | 6x=762 | | 4a+2=8 | | 63x-25x=-38 | | 21x+20x-22x-16x+10=52 | | 85x-14x-28x+7=93 | | 3x+8x-8x+17x=80 | | 3x-x-x-x+19x+3=98 | | 5x-86x+(-26x)-(-77x)-50=10 | | 6x^2+6x-180=0 | | 5(3x-x+8)+4x=41+15x | | 5(4-x)+3=18 | | 5(4-x)+3=8 | | 18-1+4= |