If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + -1)(2x + 5) = 4x Reorder the terms: (-1 + 3x)(2x + 5) = 4x Reorder the terms: (-1 + 3x)(5 + 2x) = 4x Multiply (-1 + 3x) * (5 + 2x) (-1(5 + 2x) + 3x * (5 + 2x)) = 4x ((5 * -1 + 2x * -1) + 3x * (5 + 2x)) = 4x ((-5 + -2x) + 3x * (5 + 2x)) = 4x (-5 + -2x + (5 * 3x + 2x * 3x)) = 4x (-5 + -2x + (15x + 6x2)) = 4x Combine like terms: -2x + 15x = 13x (-5 + 13x + 6x2) = 4x Solving -5 + 13x + 6x2 = 4x Solving for variable 'x'. Reorder the terms: -5 + 13x + -4x + 6x2 = 4x + -4x Combine like terms: 13x + -4x = 9x -5 + 9x + 6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 9x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -0.8333333333 + 1.5x + x2 = 0 Move the constant term to the right: Add '0.8333333333' to each side of the equation. -0.8333333333 + 1.5x + 0.8333333333 + x2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + 1.5x + x2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + 1.5x + x2 = 0 + 0.8333333333 1.5x + x2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 1.5x + x2 = 0.8333333333 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 0.8333333333 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 0.8333333333 + 0.5625 Combine like terms: 0.8333333333 + 0.5625 = 1.3958333333 0.5625 + 1.5x + x2 = 1.3958333333 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 1.3958333333 Calculate the square root of the right side: 1.181453907 Break this problem into two subproblems by setting (x + 0.75) equal to 1.181453907 and -1.181453907.Subproblem 1
x + 0.75 = 1.181453907 Simplifying x + 0.75 = 1.181453907 Reorder the terms: 0.75 + x = 1.181453907 Solving 0.75 + x = 1.181453907 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 1.181453907 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 1.181453907 + -0.75 x = 1.181453907 + -0.75 Combine like terms: 1.181453907 + -0.75 = 0.431453907 x = 0.431453907 Simplifying x = 0.431453907Subproblem 2
x + 0.75 = -1.181453907 Simplifying x + 0.75 = -1.181453907 Reorder the terms: 0.75 + x = -1.181453907 Solving 0.75 + x = -1.181453907 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -1.181453907 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -1.181453907 + -0.75 x = -1.181453907 + -0.75 Combine like terms: -1.181453907 + -0.75 = -1.931453907 x = -1.931453907 Simplifying x = -1.931453907Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.431453907, -1.931453907}
| 5x+10=6-4x | | 2n+68=7n-2n-4 | | 2n^2=3n+5 | | 19+8= | | x/10=-15 | | x^2+14x+156=0 | | 3=s+14 | | 8w-7w+5=15-2 | | 9/10-21-41+3/4-11= | | 0.5=0.25-0.3x | | -1.2+3.5z=-4.7 | | 4y-1/7=4 | | -6y-1=-31 | | 4x-12=8x-12 | | 2x+x+8=44 | | 0.24*0.3= | | 9(X-13)=45 | | 2(n+4)=28 | | 7z+21=9z+10 | | 7z+21=10z-21 | | 2x-4(-7/11)=5 | | W-b=3forw | | -3x-1=-6x+23 | | 16x+13=4x-59 | | 4y-6=y+8 | | -3x+14=-11x+6 | | 14x-4=2x+20 | | 5x+1+2w+3=90 | | W-2b=4forw | | -2x+9=5x+58 | | 6z-20=3z-10 | | 12-44=3(x-2)-5 |