If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7x * 3(-0.5x + -5) = 21 Reorder the terms: 7x * 3(-5 + -0.5x) = 21 Reorder the terms for easier multiplication: 7 * 3x(-5 + -0.5x) = 21 Multiply 7 * 3 21x(-5 + -0.5x) = 21 (-5 * 21x + -0.5x * 21x) = 21 (-105x + -10.5x2) = 21 Solving -105x + -10.5x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + -105x + -10.5x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -105x + -10.5x2 = 0 Begin completing the square. Divide all terms by -10.5 the coefficient of the squared term: Divide each side by '-10.5'. 2 + 10x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 10x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 10x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10x + x2 = 0 + -2 10x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 10x + x2 = -2 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -2 + 25 Reorder the terms: 25 + 10x + x2 = -2 + 25 Combine like terms: -2 + 25 = 23 25 + 10x + x2 = 23 Factor a perfect square on the left side: (x + 5)(x + 5) = 23 Calculate the square root of the right side: 4.795831523 Break this problem into two subproblems by setting (x + 5) equal to 4.795831523 and -4.795831523.Subproblem 1
x + 5 = 4.795831523 Simplifying x + 5 = 4.795831523 Reorder the terms: 5 + x = 4.795831523 Solving 5 + x = 4.795831523 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 4.795831523 + -5 Combine like terms: 5 + -5 = 0 0 + x = 4.795831523 + -5 x = 4.795831523 + -5 Combine like terms: 4.795831523 + -5 = -0.204168477 x = -0.204168477 Simplifying x = -0.204168477Subproblem 2
x + 5 = -4.795831523 Simplifying x + 5 = -4.795831523 Reorder the terms: 5 + x = -4.795831523 Solving 5 + x = -4.795831523 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -4.795831523 + -5 Combine like terms: 5 + -5 = 0 0 + x = -4.795831523 + -5 x = -4.795831523 + -5 Combine like terms: -4.795831523 + -5 = -9.795831523 x = -9.795831523 Simplifying x = -9.795831523Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.204168477, -9.795831523}
| x/9=-27 | | 1.2-2x=1.6 | | -46-6x=14-x | | 9x(x-7)= | | -33+2x=6x+19 | | 5x^2+30xy+45y^2= | | -17-3x=x+15 | | 27=-8x-9y | | 11+10x=-10 | | b^2+7yb+6y^2= | | -8x-9y=27 | | -39-5x=51+x | | -22+4x=11+x | | 44-(5x+6)=2(x+7)x | | 3u/5-5/6=u/10 | | -10+3x=x+4 | | 6x-54=42-2x | | ((7x-17)/(5x+10))((6x+12)/(10x-20)) | | 18x^2+30x+8=0 | | 3u - 5 = u5 6 10 | | -x-1=-3 | | -12-4x=4-2x | | 18x^2+30x*8=0 | | -3x+2=-2x+3 | | 3-(x+6)(3x-10)=2(3x+10)-(4x+8x+22) | | -2x-1=3x-5 | | 29x+23y=-7 | | 4(x-1)-2x=4x+8 | | 4x^3+14x^2+20x=0 | | 2(2x+1)=3x-4 | | 12t^3+60t^2-48t=0 | | 8(x-6)=2x-0 |