If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a(5a + 9) = 64 Reorder the terms: 4a(9 + 5a) = 64 (9 * 4a + 5a * 4a) = 64 (36a + 20a2) = 64 Solving 36a + 20a2 = 64 Solving for variable 'a'. Reorder the terms: -64 + 36a + 20a2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 36a + 20a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-16 + 9a + 5a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-16 + 9a + 5a2)' equal to zero and attempt to solve: Simplifying -16 + 9a + 5a2 = 0 Solving -16 + 9a + 5a2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -3.2 + 1.8a + a2 = 0 Move the constant term to the right: Add '3.2' to each side of the equation. -3.2 + 1.8a + 3.2 + a2 = 0 + 3.2 Reorder the terms: -3.2 + 3.2 + 1.8a + a2 = 0 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1.8a + a2 = 0 + 3.2 1.8a + a2 = 0 + 3.2 Combine like terms: 0 + 3.2 = 3.2 1.8a + a2 = 3.2 The a term is 1.8a. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8a + 0.81 + a2 = 3.2 + 0.81 Reorder the terms: 0.81 + 1.8a + a2 = 3.2 + 0.81 Combine like terms: 3.2 + 0.81 = 4.01 0.81 + 1.8a + a2 = 4.01 Factor a perfect square on the left side: (a + 0.9)(a + 0.9) = 4.01 Calculate the square root of the right side: 2.002498439 Break this problem into two subproblems by setting (a + 0.9) equal to 2.002498439 and -2.002498439.Subproblem 1
a + 0.9 = 2.002498439 Simplifying a + 0.9 = 2.002498439 Reorder the terms: 0.9 + a = 2.002498439 Solving 0.9 + a = 2.002498439 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + a = 2.002498439 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + a = 2.002498439 + -0.9 a = 2.002498439 + -0.9 Combine like terms: 2.002498439 + -0.9 = 1.102498439 a = 1.102498439 Simplifying a = 1.102498439Subproblem 2
a + 0.9 = -2.002498439 Simplifying a + 0.9 = -2.002498439 Reorder the terms: 0.9 + a = -2.002498439 Solving 0.9 + a = -2.002498439 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + a = -2.002498439 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + a = -2.002498439 + -0.9 a = -2.002498439 + -0.9 Combine like terms: -2.002498439 + -0.9 = -2.902498439 a = -2.902498439 Simplifying a = -2.902498439Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.102498439, -2.902498439}Solution
a = {1.102498439, -2.902498439}
| x(y+30)=435 | | 2n+3=88 | | 2x+1x-6=2x+5 | | 36u^2+77u-9=0 | | 90-x=30+2(180-x) | | 0.6x-2=6+0.25+0.6 | | 1/4=m/2-1/8 | | -8(x-2)+(8x-12)=63 | | 0.12-0.06x=0.108 | | n+n+2+n+4=84 | | 3x-3/4=11/2 | | abs(5b-4)=11 | | -8(x-2)-(8x-12)=63 | | 7x^2+25x=5 | | 6x-33=-21 | | 2(-y+5)=-3y-3 | | x+y+1=435 | | -3=2x-5x | | 4z^2+7z-2=0 | | 6x^2+3=6 | | 0.4x+0.25(128-x)= | | 6p-90=810 | | 3(-4)+4y=8 | | 2r-3/3=0.6 | | 2(-6+2)+(2+6)=8 | | -4v-2v(2v+7)= | | n+n+2=116 | | 9m-16=308 | | -9m-2=8 | | 9x^2+15x-5=2x^2-10x | | -5r-5r=-10 | | 4w^2-w-3=0 |