If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x(3x + -35) + 120(34x + -21) = 23 + 45x Reorder the terms: 2x(-35 + 3x) + 120(34x + -21) = 23 + 45x (-35 * 2x + 3x * 2x) + 120(34x + -21) = 23 + 45x (-70x + 6x2) + 120(34x + -21) = 23 + 45x Reorder the terms: -70x + 6x2 + 120(-21 + 34x) = 23 + 45x -70x + 6x2 + (-21 * 120 + 34x * 120) = 23 + 45x -70x + 6x2 + (-2520 + 4080x) = 23 + 45x Reorder the terms: -2520 + -70x + 4080x + 6x2 = 23 + 45x Combine like terms: -70x + 4080x = 4010x -2520 + 4010x + 6x2 = 23 + 45x Solving -2520 + 4010x + 6x2 = 23 + 45x Solving for variable 'x'. Reorder the terms: -2520 + -23 + 4010x + -45x + 6x2 = 23 + 45x + -23 + -45x Combine like terms: -2520 + -23 = -2543 -2543 + 4010x + -45x + 6x2 = 23 + 45x + -23 + -45x Combine like terms: 4010x + -45x = 3965x -2543 + 3965x + 6x2 = 23 + 45x + -23 + -45x Reorder the terms: -2543 + 3965x + 6x2 = 23 + -23 + 45x + -45x Combine like terms: 23 + -23 = 0 -2543 + 3965x + 6x2 = 0 + 45x + -45x -2543 + 3965x + 6x2 = 45x + -45x Combine like terms: 45x + -45x = 0 -2543 + 3965x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -423.8333333 + 660.8333333x + x2 = 0 Move the constant term to the right: Add '423.8333333' to each side of the equation. -423.8333333 + 660.8333333x + 423.8333333 + x2 = 0 + 423.8333333 Reorder the terms: -423.8333333 + 423.8333333 + 660.8333333x + x2 = 0 + 423.8333333 Combine like terms: -423.8333333 + 423.8333333 = 0.0000000 0.0000000 + 660.8333333x + x2 = 0 + 423.8333333 660.8333333x + x2 = 0 + 423.8333333 Combine like terms: 0 + 423.8333333 = 423.8333333 660.8333333x + x2 = 423.8333333 The x term is 660.8333333x. Take half its coefficient (330.4166667). Square it (109175.1736) and add it to both sides. Add '109175.1736' to each side of the equation. 660.8333333x + 109175.1736 + x2 = 423.8333333 + 109175.1736 Reorder the terms: 109175.1736 + 660.8333333x + x2 = 423.8333333 + 109175.1736 Combine like terms: 423.8333333 + 109175.1736 = 109599.0069333 109175.1736 + 660.8333333x + x2 = 109599.0069333 Factor a perfect square on the left side: (x + 330.4166667)(x + 330.4166667) = 109599.0069333 Calculate the square root of the right side: 331.057407308 Break this problem into two subproblems by setting (x + 330.4166667) equal to 331.057407308 and -331.057407308.Subproblem 1
x + 330.4166667 = 331.057407308 Simplifying x + 330.4166667 = 331.057407308 Reorder the terms: 330.4166667 + x = 331.057407308 Solving 330.4166667 + x = 331.057407308 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-330.4166667' to each side of the equation. 330.4166667 + -330.4166667 + x = 331.057407308 + -330.4166667 Combine like terms: 330.4166667 + -330.4166667 = 0.0000000 0.0000000 + x = 331.057407308 + -330.4166667 x = 331.057407308 + -330.4166667 Combine like terms: 331.057407308 + -330.4166667 = 0.640740608 x = 0.640740608 Simplifying x = 0.640740608Subproblem 2
x + 330.4166667 = -331.057407308 Simplifying x + 330.4166667 = -331.057407308 Reorder the terms: 330.4166667 + x = -331.057407308 Solving 330.4166667 + x = -331.057407308 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-330.4166667' to each side of the equation. 330.4166667 + -330.4166667 + x = -331.057407308 + -330.4166667 Combine like terms: 330.4166667 + -330.4166667 = 0.0000000 0.0000000 + x = -331.057407308 + -330.4166667 x = -331.057407308 + -330.4166667 Combine like terms: -331.057407308 + -330.4166667 = -661.474074008 x = -661.474074008 Simplifying x = -661.474074008Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.640740608, -661.474074008}
| 15+x=4x+6 | | 48=6(10+n) | | -x+6=-2x+9 | | -8+2x=-24+6x | | 9z-15=21 | | -4+6x=12+2x | | x^2+4x=132 | | 18-27= | | 15-2x=4x-21 | | f(x)=x^3-3x^2-4x+12-2 | | 0.99*x=1.5*x | | x^3-3x^2-4x+12-2=0 | | 14+5h=20 | | 75*x=25*x | | x^3+7x^2-15x-9=0 | | 5x+3x-6=90 | | 75+15*x=0+25 | | 500=515+b(85-79) | | 20=I^2(5) | | 20=I^25 | | 1.33(-6y)= | | 4(n+7)-14n=148 | | 5x+6=2x+14 | | (x-yi)(3+2i)=12-5i | | (fg)(-12)=0 | | x^2+y^2=5(x-y) | | 6y+(5y+2)= | | 6y+30x=180 | | r^2-6r=187 | | -210=10(2p-3) | | (a-b)8= | | r^2-4r=192 |