If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x(x + -3) + 4(x + 4) = 31 + -7x * 2 Reorder the terms: 5x(-3 + x) + 4(x + 4) = 31 + -7x * 2 (-3 * 5x + x * 5x) + 4(x + 4) = 31 + -7x * 2 (-15x + 5x2) + 4(x + 4) = 31 + -7x * 2 Reorder the terms: -15x + 5x2 + 4(4 + x) = 31 + -7x * 2 -15x + 5x2 + (4 * 4 + x * 4) = 31 + -7x * 2 -15x + 5x2 + (16 + 4x) = 31 + -7x * 2 Reorder the terms: 16 + -15x + 4x + 5x2 = 31 + -7x * 2 Combine like terms: -15x + 4x = -11x 16 + -11x + 5x2 = 31 + -7x * 2 Reorder the terms for easier multiplication: 16 + -11x + 5x2 = 31 + -7 * 2x Multiply -7 * 2 16 + -11x + 5x2 = 31 + -14x Solving 16 + -11x + 5x2 = 31 + -14x Solving for variable 'x'. Reorder the terms: 16 + -31 + -11x + 14x + 5x2 = 31 + -14x + -31 + 14x Combine like terms: 16 + -31 = -15 -15 + -11x + 14x + 5x2 = 31 + -14x + -31 + 14x Combine like terms: -11x + 14x = 3x -15 + 3x + 5x2 = 31 + -14x + -31 + 14x Reorder the terms: -15 + 3x + 5x2 = 31 + -31 + -14x + 14x Combine like terms: 31 + -31 = 0 -15 + 3x + 5x2 = 0 + -14x + 14x -15 + 3x + 5x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -15 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -3 + 0.6x + x2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 0.6x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 0.6x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 0.6x + x2 = 0 + 3 0.6x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 0.6x + x2 = 3 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = 3 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = 3 + 0.09 Combine like terms: 3 + 0.09 = 3.09 0.09 + 0.6x + x2 = 3.09 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = 3.09 Calculate the square root of the right side: 1.757839583 Break this problem into two subproblems by setting (x + 0.3) equal to 1.757839583 and -1.757839583.Subproblem 1
x + 0.3 = 1.757839583 Simplifying x + 0.3 = 1.757839583 Reorder the terms: 0.3 + x = 1.757839583 Solving 0.3 + x = 1.757839583 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + x = 1.757839583 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + x = 1.757839583 + -0.3 x = 1.757839583 + -0.3 Combine like terms: 1.757839583 + -0.3 = 1.457839583 x = 1.457839583 Simplifying x = 1.457839583Subproblem 2
x + 0.3 = -1.757839583 Simplifying x + 0.3 = -1.757839583 Reorder the terms: 0.3 + x = -1.757839583 Solving 0.3 + x = -1.757839583 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + x = -1.757839583 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + x = -1.757839583 + -0.3 x = -1.757839583 + -0.3 Combine like terms: -1.757839583 + -0.3 = -2.057839583 x = -2.057839583 Simplifying x = -2.057839583Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.457839583, -2.057839583}
| x(x-5)+3=2 | | -6=3y-1 | | x-2x+1-1x-1=-3x+1-2xx-1 | | 11x+41=5x+1 | | 4x+9=7x+45 | | b^2+2b+1=16 | | 36x+4y=-20 | | y=8b-2a | | 11(x-13)=77 | | 8(x+9)=96 | | 5x^2-9x-8=9x | | 4-6x=12-4x | | 20x-2=98 | | 4.5x+2.5y=100 | | 12d=84 | | 2x+3=-3x+3 | | kx=ma | | -1+lnx+ln(x-1)=0 | | 2x-156+16x=138 | | lnx+ln(x-1)=1 | | 37-4x=5x+18 | | 2x+1=5x-3 | | 16x-4x-99=117 | | -184-4x-99=117 | | 5x+7=x+20 | | 18x-149-8x=181 | | 9x-177+2x=120 | | 16-7d=-3+2 | | -54-12x+17X=91 | | 12x-65-4x=111 | | y/3=9/27 | | -2x-156+16x=138 |