If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a(a + 7) = 90 Reorder the terms: a(7 + a) = 90 (7 * a + a * a) = 90 (7a + a2) = 90 Solving 7a + a2 = 90 Solving for variable 'a'. Reorder the terms: -90 + 7a + a2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 7a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '90' to each side of the equation. -90 + 7a + 90 + a2 = 0 + 90 Reorder the terms: -90 + 90 + 7a + a2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 7a + a2 = 0 + 90 7a + a2 = 0 + 90 Combine like terms: 0 + 90 = 90 7a + a2 = 90 The a term is 7a. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7a + 12.25 + a2 = 90 + 12.25 Reorder the terms: 12.25 + 7a + a2 = 90 + 12.25 Combine like terms: 90 + 12.25 = 102.25 12.25 + 7a + a2 = 102.25 Factor a perfect square on the left side: (a + 3.5)(a + 3.5) = 102.25 Calculate the square root of the right side: 10.111874208 Break this problem into two subproblems by setting (a + 3.5) equal to 10.111874208 and -10.111874208.Subproblem 1
a + 3.5 = 10.111874208 Simplifying a + 3.5 = 10.111874208 Reorder the terms: 3.5 + a = 10.111874208 Solving 3.5 + a = 10.111874208 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + a = 10.111874208 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + a = 10.111874208 + -3.5 a = 10.111874208 + -3.5 Combine like terms: 10.111874208 + -3.5 = 6.611874208 a = 6.611874208 Simplifying a = 6.611874208Subproblem 2
a + 3.5 = -10.111874208 Simplifying a + 3.5 = -10.111874208 Reorder the terms: 3.5 + a = -10.111874208 Solving 3.5 + a = -10.111874208 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + a = -10.111874208 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + a = -10.111874208 + -3.5 a = -10.111874208 + -3.5 Combine like terms: -10.111874208 + -3.5 = -13.611874208 a = -13.611874208 Simplifying a = -13.611874208Solution
The solution to the problem is based on the solutions from the subproblems. a = {6.611874208, -13.611874208}
| 8x^(17/19)-16=0 | | y=1/8(2) | | 3x+33-6=(5x+2)(5x+2) | | 4x^2-98x+258=0 | | x^3+20x^2+100x=0 | | 20x^2+100x=0 | | F(x)=x-9 | | x=(-4*y)/15 | | -13-1/4=7 | | F(x)=4-8x | | 1=3x-12 | | 6x(x-1)=20-13x | | 2(2)+4y=8 | | 2(1)+4y=8 | | 525.00+0.21*(x)=525 | | (3x)(3x)+3x=-8 | | 1.5x+6=3.5-x | | 6(0)+4y=24 | | 6(2)+4y=24 | | 6(1)+4y=24 | | 6x+4(1)=24 | | X-19-(6x-7)+4(-x-7)=54 | | 6x+4(0)=24 | | 12*12=144 | | (2w+5p)(2w-5p)= | | 5x-9=18x-12 | | 6+x=42 | | x^2+x=2x+1 | | 2x-33=-6 | | 490+0.03X=420 | | 2x^2+4x+4=202 | | 3(3x+1)=15+8x |