If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (10x2 + 30x) = (2x2 + -30x + -75) Reorder the terms: (30x + 10x2) = (2x2 + -30x + -75) Remove parenthesis around (30x + 10x2) 30x + 10x2 = (2x2 + -30x + -75) Reorder the terms: 30x + 10x2 = (-75 + -30x + 2x2) Remove parenthesis around (-75 + -30x + 2x2) 30x + 10x2 = -75 + -30x + 2x2 Solving 30x + 10x2 = -75 + -30x + 2x2 Solving for variable 'x'. Reorder the terms: 75 + 30x + 30x + 10x2 + -2x2 = -75 + -30x + 2x2 + 75 + 30x + -2x2 Combine like terms: 30x + 30x = 60x 75 + 60x + 10x2 + -2x2 = -75 + -30x + 2x2 + 75 + 30x + -2x2 Combine like terms: 10x2 + -2x2 = 8x2 75 + 60x + 8x2 = -75 + -30x + 2x2 + 75 + 30x + -2x2 Reorder the terms: 75 + 60x + 8x2 = -75 + 75 + -30x + 30x + 2x2 + -2x2 Combine like terms: -75 + 75 = 0 75 + 60x + 8x2 = 0 + -30x + 30x + 2x2 + -2x2 75 + 60x + 8x2 = -30x + 30x + 2x2 + -2x2 Combine like terms: -30x + 30x = 0 75 + 60x + 8x2 = 0 + 2x2 + -2x2 75 + 60x + 8x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 75 + 60x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 9.375 + 7.5x + x2 = 0 Move the constant term to the right: Add '-9.375' to each side of the equation. 9.375 + 7.5x + -9.375 + x2 = 0 + -9.375 Reorder the terms: 9.375 + -9.375 + 7.5x + x2 = 0 + -9.375 Combine like terms: 9.375 + -9.375 = 0.000 0.000 + 7.5x + x2 = 0 + -9.375 7.5x + x2 = 0 + -9.375 Combine like terms: 0 + -9.375 = -9.375 7.5x + x2 = -9.375 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = -9.375 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = -9.375 + 14.0625 Combine like terms: -9.375 + 14.0625 = 4.6875 14.0625 + 7.5x + x2 = 4.6875 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = 4.6875 Calculate the square root of the right side: 2.165063509 Break this problem into two subproblems by setting (x + 3.75) equal to 2.165063509 and -2.165063509.Subproblem 1
x + 3.75 = 2.165063509 Simplifying x + 3.75 = 2.165063509 Reorder the terms: 3.75 + x = 2.165063509 Solving 3.75 + x = 2.165063509 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = 2.165063509 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = 2.165063509 + -3.75 x = 2.165063509 + -3.75 Combine like terms: 2.165063509 + -3.75 = -1.584936491 x = -1.584936491 Simplifying x = -1.584936491Subproblem 2
x + 3.75 = -2.165063509 Simplifying x + 3.75 = -2.165063509 Reorder the terms: 3.75 + x = -2.165063509 Solving 3.75 + x = -2.165063509 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = -2.165063509 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = -2.165063509 + -3.75 x = -2.165063509 + -3.75 Combine like terms: -2.165063509 + -3.75 = -5.915063509 x = -5.915063509 Simplifying x = -5.915063509Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.584936491, -5.915063509}
| -2x+5(-2x-6)=18 | | 3-(6s-15)=4s+8 | | 20x^2+25x+75=0 | | 3x+3=x-18 | | -16=x-10 | | 24-6k=6(k-4) | | 0.4y+0.65x=60 | | 24-6k=6k(4-k) | | 6(1+4a)=-114 | | 3(9y+3)-9=2y+21 | | 39+0.75x=x | | (4z+2)+(5z-3)= | | T*4-3=12 | | 5x^2+10x+46=0 | | 14=-0.5x^2+46 | | 3(4x-1)=9x+6 | | 18x-6=20x-12 | | A*5+6=10 | | -30de+12=18d | | 5t+6-2r=7r-10 | | y+9x^3y=0 | | 4x+1=4x-2 | | 3x-5x+3=x-7+10 | | -5(x+2)+3x=-5(x-3)+3x | | 70x^3+112x-1=0 | | 108=-6(x-8)-4x | | 7n=50+24 | | Y-3=-(x-5) | | (5x+y)+(2x+6y)= | | 2(x+9)=26 | | 3*8x=1.5e^2x | | x^4+0.5x^3-6x^2+5=0 |