If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(a + -5) = 4a(2a + 10) Reorder the terms: 2(-5 + a) = 4a(2a + 10) (-5 * 2 + a * 2) = 4a(2a + 10) (-10 + 2a) = 4a(2a + 10) Reorder the terms: -10 + 2a = 4a(10 + 2a) -10 + 2a = (10 * 4a + 2a * 4a) -10 + 2a = (40a + 8a2) Solving -10 + 2a = 40a + 8a2 Solving for variable 'a'. Combine like terms: 2a + -40a = -38a -10 + -38a + -8a2 = 40a + 8a2 + -40a + -8a2 Reorder the terms: -10 + -38a + -8a2 = 40a + -40a + 8a2 + -8a2 Combine like terms: 40a + -40a = 0 -10 + -38a + -8a2 = 0 + 8a2 + -8a2 -10 + -38a + -8a2 = 8a2 + -8a2 Combine like terms: 8a2 + -8a2 = 0 -10 + -38a + -8a2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(5 + 19a + 4a2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(5 + 19a + 4a2)' equal to zero and attempt to solve: Simplifying 5 + 19a + 4a2 = 0 Solving 5 + 19a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + 4.75a + a2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 4.75a + -1.25 + a2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 4.75a + a2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 4.75a + a2 = 0 + -1.25 4.75a + a2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 4.75a + a2 = -1.25 The a term is 4.75a. Take half its coefficient (2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. 4.75a + 5.640625 + a2 = -1.25 + 5.640625 Reorder the terms: 5.640625 + 4.75a + a2 = -1.25 + 5.640625 Combine like terms: -1.25 + 5.640625 = 4.390625 5.640625 + 4.75a + a2 = 4.390625 Factor a perfect square on the left side: (a + 2.375)(a + 2.375) = 4.390625 Calculate the square root of the right side: 2.095381827 Break this problem into two subproblems by setting (a + 2.375) equal to 2.095381827 and -2.095381827.Subproblem 1
a + 2.375 = 2.095381827 Simplifying a + 2.375 = 2.095381827 Reorder the terms: 2.375 + a = 2.095381827 Solving 2.375 + a = 2.095381827 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.375' to each side of the equation. 2.375 + -2.375 + a = 2.095381827 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + a = 2.095381827 + -2.375 a = 2.095381827 + -2.375 Combine like terms: 2.095381827 + -2.375 = -0.279618173 a = -0.279618173 Simplifying a = -0.279618173Subproblem 2
a + 2.375 = -2.095381827 Simplifying a + 2.375 = -2.095381827 Reorder the terms: 2.375 + a = -2.095381827 Solving 2.375 + a = -2.095381827 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.375' to each side of the equation. 2.375 + -2.375 + a = -2.095381827 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + a = -2.095381827 + -2.375 a = -2.095381827 + -2.375 Combine like terms: -2.095381827 + -2.375 = -4.470381827 a = -4.470381827 Simplifying a = -4.470381827Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.279618173, -4.470381827}Solution
a = {-0.279618173, -4.470381827}
| 3x+(x+8)=90 | | 15=x3+7 | | 2n^2+9n=68 | | 3x+x=82 | | 4(z-2)=9z-7 | | 3.5x-2.8=14 | | (x^2-9)=11x | | X^2-23x+144=0 | | 1x-1-3x=6 | | 5ln(x)=25 | | 9y-8=16-4y | | 7-m=0 | | ax+c-bx=d | | 2x+7=-(3-2x) | | .7x+.3(3-x)=3 | | 3(x^2)-5x+2=0 | | X^2+6x+(e^2-8)=0 | | 2x^3-7x^2-7x+12=0 | | Y=400x+1200 | | 3(x+7)=9-2(2x-2) | | 10x-36-38x-47=0 | | 3/5(1/6p+7/9)=0 | | 1990x-173y=11 | | 2y=18-4y | | x^2+5-2=0 | | 4a^2-5ab+b^2=0 | | 3z-m=z+b | | 5(x-18)= | | 3z-m=z+bx | | g(x)=6x+3 | | 5x-(2x+2)=4x+8 | | 10x+4=4x-8 |