If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.9a2 + 5.4a = 4 Reorder the terms: 5.4a + 0.9a2 = 4 Solving 5.4a + 0.9a2 = 4 Solving for variable 'a'. Reorder the terms: -4 + 5.4a + 0.9a2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 5.4a + 0.9a2 = 0 Begin completing the square. Divide all terms by 0.9 the coefficient of the squared term: Divide each side by '0.9'. -4.444444444 + 6a + a2 = 0 Move the constant term to the right: Add '4.444444444' to each side of the equation. -4.444444444 + 6a + 4.444444444 + a2 = 0 + 4.444444444 Reorder the terms: -4.444444444 + 4.444444444 + 6a + a2 = 0 + 4.444444444 Combine like terms: -4.444444444 + 4.444444444 = 0.000000000 0.000000000 + 6a + a2 = 0 + 4.444444444 6a + a2 = 0 + 4.444444444 Combine like terms: 0 + 4.444444444 = 4.444444444 6a + a2 = 4.444444444 The a term is 6a. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6a + 9 + a2 = 4.444444444 + 9 Reorder the terms: 9 + 6a + a2 = 4.444444444 + 9 Combine like terms: 4.444444444 + 9 = 13.444444444 9 + 6a + a2 = 13.444444444 Factor a perfect square on the left side: (a + 3)(a + 3) = 13.444444444 Calculate the square root of the right side: 3.666666667 Break this problem into two subproblems by setting (a + 3) equal to 3.666666667 and -3.666666667.Subproblem 1
a + 3 = 3.666666667 Simplifying a + 3 = 3.666666667 Reorder the terms: 3 + a = 3.666666667 Solving 3 + a = 3.666666667 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 3.666666667 + -3 Combine like terms: 3 + -3 = 0 0 + a = 3.666666667 + -3 a = 3.666666667 + -3 Combine like terms: 3.666666667 + -3 = 0.666666667 a = 0.666666667 Simplifying a = 0.666666667Subproblem 2
a + 3 = -3.666666667 Simplifying a + 3 = -3.666666667 Reorder the terms: 3 + a = -3.666666667 Solving 3 + a = -3.666666667 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = -3.666666667 + -3 Combine like terms: 3 + -3 = 0 0 + a = -3.666666667 + -3 a = -3.666666667 + -3 Combine like terms: -3.666666667 + -3 = -6.666666667 a = -6.666666667 Simplifying a = -6.666666667Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.666666667, -6.666666667}
| 2a(9a-2)=0 | | 13y+16x=154 | | f(x)=8x-8 | | a^2-3a-42=-2 | | -3(-2u-x)+5(-2x-u)= | | 4(x+2)+3(2x-2)= | | 4x+7-x=3x+10 | | 1/3(2x+5)=3 | | 49-7x=2x+16 | | 24-3y=2y+21-15 | | 3p+5=26 | | 14(v+4)-2v=4(3v+2)-13 | | 112=188-y | | (-12a^6-7a^4)+(7a^4+23a^6)= | | abs(3x+2)=abs(2-x) | | 210=-x+264 | | -x+48=172 | | -17-(-8)= | | x^2+3x-26=2 | | 8=3.14r^2 | | 64-3x=15x+18 | | 4=3k+k | | 1/2*14-2 | | 4x-2*3=30 | | 7x+8=18+5 | | y^2+6xy+9x^2= | | j-635=182 | | -8x-10+2x=5x-3x+6 | | 5a+26=7a-17 | | -3+3x=26 | | 13+.5X=37 | | 24/c=4 |