If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 38 = (x + 3)(2x + -5) Reorder the terms: 38 = (3 + x)(2x + -5) Reorder the terms: 38 = (3 + x)(-5 + 2x) Multiply (3 + x) * (-5 + 2x) 38 = (3(-5 + 2x) + x(-5 + 2x)) 38 = ((-5 * 3 + 2x * 3) + x(-5 + 2x)) 38 = ((-15 + 6x) + x(-5 + 2x)) 38 = (-15 + 6x + (-5 * x + 2x * x)) 38 = (-15 + 6x + (-5x + 2x2)) Combine like terms: 6x + -5x = 1x 38 = (-15 + 1x + 2x2) Solving 38 = -15 + 1x + 2x2 Solving for variable 'x'. Combine like terms: 38 + 15 = 53 53 + -1x + -2x2 = -15 + 1x + 2x2 + 15 + -1x + -2x2 Reorder the terms: 53 + -1x + -2x2 = -15 + 15 + 1x + -1x + 2x2 + -2x2 Combine like terms: -15 + 15 = 0 53 + -1x + -2x2 = 0 + 1x + -1x + 2x2 + -2x2 53 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 53 + -1x + -2x2 = 0 + 2x2 + -2x2 53 + -1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 53 + -1x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -26.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '26.5' to each side of the equation. -26.5 + 0.5x + 26.5 + x2 = 0 + 26.5 Reorder the terms: -26.5 + 26.5 + 0.5x + x2 = 0 + 26.5 Combine like terms: -26.5 + 26.5 = 0.0 0.0 + 0.5x + x2 = 0 + 26.5 0.5x + x2 = 0 + 26.5 Combine like terms: 0 + 26.5 = 26.5 0.5x + x2 = 26.5 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = 26.5 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 26.5 + 0.0625 Combine like terms: 26.5 + 0.0625 = 26.5625 0.0625 + 0.5x + x2 = 26.5625 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 26.5625 Calculate the square root of the right side: 5.153882032 Break this problem into two subproblems by setting (x + 0.25) equal to 5.153882032 and -5.153882032.Subproblem 1
x + 0.25 = 5.153882032 Simplifying x + 0.25 = 5.153882032 Reorder the terms: 0.25 + x = 5.153882032 Solving 0.25 + x = 5.153882032 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 5.153882032 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 5.153882032 + -0.25 x = 5.153882032 + -0.25 Combine like terms: 5.153882032 + -0.25 = 4.903882032 x = 4.903882032 Simplifying x = 4.903882032Subproblem 2
x + 0.25 = -5.153882032 Simplifying x + 0.25 = -5.153882032 Reorder the terms: 0.25 + x = -5.153882032 Solving 0.25 + x = -5.153882032 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -5.153882032 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -5.153882032 + -0.25 x = -5.153882032 + -0.25 Combine like terms: -5.153882032 + -0.25 = -5.403882032 x = -5.403882032 Simplifying x = -5.403882032Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.903882032, -5.403882032}
| 5x+35+3x+34+3x+34=180 | | (6+x+4)*(x+6)=300 | | 3a-5(4a-2)=61 | | (x+3)(2x-5)=38 | | 9+0.11x-0.04=3x-0.005-0.02x | | -4.9x+88.2=24.5 | | 130+0.30x=50+0.70x | | y^4+17y^3-18y^2= | | -4.9x+88.2=224.5 | | 5s+3t=7.30 | | 5x-9+5x-9+2x+66=180 | | -3n-12=-21 | | y=-3x^2-12x+1 | | 0=6(a-5)-4a-44 | | y=(2+8k)x | | 16x+x^2=300 | | y^2-5x=0 | | 122.5=(7)w(3.5) | | -8+x=4y | | v=122.5 | | 7+3x=11+2x | | 3t+5s=8 | | 5(3x-6)=30 | | 5(6z-1)-2(z+6)=5(z+1) | | -45+(-52)=x | | 3y+5.4=15 | | -45+37=x | | 3.5x-0.25=1.5 | | 5-(-3+6i)-(5-i)=13-5i | | Logbase(x)27=3 | | 2y+1.4=2.4 | | -5(y-1)+5=-2y-5-4y |