If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 3.5)(2x + 3) = 15 Reorder the terms: (3.5 + 2x)(2x + 3) = 15 Reorder the terms: (3.5 + 2x)(3 + 2x) = 15 Multiply (3.5 + 2x) * (3 + 2x) (3.5(3 + 2x) + 2x * (3 + 2x)) = 15 ((3 * 3.5 + 2x * 3.5) + 2x * (3 + 2x)) = 15 ((10.5 + 7x) + 2x * (3 + 2x)) = 15 (10.5 + 7x + (3 * 2x + 2x * 2x)) = 15 (10.5 + 7x + (6x + 4x2)) = 15 Combine like terms: 7x + 6x = 13x (10.5 + 13x + 4x2) = 15 Solving 10.5 + 13x + 4x2 = 15 Solving for variable 'x'. Reorder the terms: 10.5 + -15 + 13x + 4x2 = 15 + -15 Combine like terms: 10.5 + -15 = -4.5 -4.5 + 13x + 4x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -4.5 + 13x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.125 + 3.25x + x2 = 0 Move the constant term to the right: Add '1.125' to each side of the equation. -1.125 + 3.25x + 1.125 + x2 = 0 + 1.125 Reorder the terms: -1.125 + 1.125 + 3.25x + x2 = 0 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + 3.25x + x2 = 0 + 1.125 3.25x + x2 = 0 + 1.125 Combine like terms: 0 + 1.125 = 1.125 3.25x + x2 = 1.125 The x term is 3.25x. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25x + 2.640625 + x2 = 1.125 + 2.640625 Reorder the terms: 2.640625 + 3.25x + x2 = 1.125 + 2.640625 Combine like terms: 1.125 + 2.640625 = 3.765625 2.640625 + 3.25x + x2 = 3.765625 Factor a perfect square on the left side: (x + 1.625)(x + 1.625) = 3.765625 Calculate the square root of the right side: 1.940521837 Break this problem into two subproblems by setting (x + 1.625) equal to 1.940521837 and -1.940521837.Subproblem 1
x + 1.625 = 1.940521837 Simplifying x + 1.625 = 1.940521837 Reorder the terms: 1.625 + x = 1.940521837 Solving 1.625 + x = 1.940521837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + x = 1.940521837 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + x = 1.940521837 + -1.625 x = 1.940521837 + -1.625 Combine like terms: 1.940521837 + -1.625 = 0.315521837 x = 0.315521837 Simplifying x = 0.315521837Subproblem 2
x + 1.625 = -1.940521837 Simplifying x + 1.625 = -1.940521837 Reorder the terms: 1.625 + x = -1.940521837 Solving 1.625 + x = -1.940521837 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + x = -1.940521837 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + x = -1.940521837 + -1.625 x = -1.940521837 + -1.625 Combine like terms: -1.940521837 + -1.625 = -3.565521837 x = -3.565521837 Simplifying x = -3.565521837Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.315521837, -3.565521837}
| 8+(8-3)+64= | | 7x+-2y=6 | | 7(-8r+3)=245 | | x^2+.19x-.089=0 | | 2y=-x+18 | | (x+4)(x-1)= | | X+30=64 | | 0.05x-5=-4 | | -9n^2-24n+16=0 | | x=19+3(x+y) | | 3-(2-x)=-2(-2x-4) | | 5x-22=83 | | .222n+5=10 | | (2x-3)(4x+2)= | | logx-log(x-5)=1 | | .625a+6=.750a | | 2n-12=12-4n | | -20+15x=-15 | | 4.5+5=10 | | (n+4)-2(n)=(n+2)-24 | | .222+5=10 | | x^4+10x^3+24x^2-6x-9=0 | | 2g-(8-g)=7g-10 | | 5(x-4)=22-x | | 14+3a=-29-1 | | 6n+7a=10 | | -3(-3x-7)=48 | | 2n+5a=14 | | 5x-t=13 | | 4x+5t=22 | | 3(g-8)=20+2g | | 3x=3-y |