If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5(4w + 4) * 2w = 7(w + 8) + -6 Reorder the terms: 5(4 + 4w) * 2w = 7(w + 8) + -6 Reorder the terms for easier multiplication: 5 * 2w(4 + 4w) = 7(w + 8) + -6 Multiply 5 * 2 10w(4 + 4w) = 7(w + 8) + -6 (4 * 10w + 4w * 10w) = 7(w + 8) + -6 (40w + 40w2) = 7(w + 8) + -6 Reorder the terms: 40w + 40w2 = 7(8 + w) + -6 40w + 40w2 = (8 * 7 + w * 7) + -6 40w + 40w2 = (56 + 7w) + -6 Reorder the terms: 40w + 40w2 = 56 + -6 + 7w Combine like terms: 56 + -6 = 50 40w + 40w2 = 50 + 7w Solving 40w + 40w2 = 50 + 7w Solving for variable 'w'. Reorder the terms: -50 + 40w + -7w + 40w2 = 50 + 7w + -50 + -7w Combine like terms: 40w + -7w = 33w -50 + 33w + 40w2 = 50 + 7w + -50 + -7w Reorder the terms: -50 + 33w + 40w2 = 50 + -50 + 7w + -7w Combine like terms: 50 + -50 = 0 -50 + 33w + 40w2 = 0 + 7w + -7w -50 + 33w + 40w2 = 7w + -7w Combine like terms: 7w + -7w = 0 -50 + 33w + 40w2 = 0 Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. -1.25 + 0.825w + w2 = 0.0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + 0.825w + 1.25 + w2 = 0.0 + 1.25 Reorder the terms: -1.25 + 1.25 + 0.825w + w2 = 0.0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 0.825w + w2 = 0.0 + 1.25 0.825w + w2 = 0.0 + 1.25 Combine like terms: 0.0 + 1.25 = 1.25 0.825w + w2 = 1.25 The w term is 0.825w. Take half its coefficient (0.4125). Square it (0.17015625) and add it to both sides. Add '0.17015625' to each side of the equation. 0.825w + 0.17015625 + w2 = 1.25 + 0.17015625 Reorder the terms: 0.17015625 + 0.825w + w2 = 1.25 + 0.17015625 Combine like terms: 1.25 + 0.17015625 = 1.42015625 0.17015625 + 0.825w + w2 = 1.42015625 Factor a perfect square on the left side: (w + 0.4125)(w + 0.4125) = 1.42015625 Calculate the square root of the right side: 1.191703088 Break this problem into two subproblems by setting (w + 0.4125) equal to 1.191703088 and -1.191703088.Subproblem 1
w + 0.4125 = 1.191703088 Simplifying w + 0.4125 = 1.191703088 Reorder the terms: 0.4125 + w = 1.191703088 Solving 0.4125 + w = 1.191703088 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.4125' to each side of the equation. 0.4125 + -0.4125 + w = 1.191703088 + -0.4125 Combine like terms: 0.4125 + -0.4125 = 0.0000 0.0000 + w = 1.191703088 + -0.4125 w = 1.191703088 + -0.4125 Combine like terms: 1.191703088 + -0.4125 = 0.779203088 w = 0.779203088 Simplifying w = 0.779203088Subproblem 2
w + 0.4125 = -1.191703088 Simplifying w + 0.4125 = -1.191703088 Reorder the terms: 0.4125 + w = -1.191703088 Solving 0.4125 + w = -1.191703088 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.4125' to each side of the equation. 0.4125 + -0.4125 + w = -1.191703088 + -0.4125 Combine like terms: 0.4125 + -0.4125 = 0.0000 0.0000 + w = -1.191703088 + -0.4125 w = -1.191703088 + -0.4125 Combine like terms: -1.191703088 + -0.4125 = -1.604203088 w = -1.604203088 Simplifying w = -1.604203088Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.779203088, -1.604203088}
| -4+x=20 | | 6(c-1)=5(1+c) | | 3G+12=5+2g | | 2x+10=4x-6 | | 3x+7+x+90=180 | | 4(s-3)=20 | | -7x+9+8x=10-31 | | 3x+5=8x-9 | | -11(x-7)=22 | | 2m+5=4m-3 | | -(2p+17)=-23 | | 8(z+3)=4(z+1)-16 | | y=(x-2)(x+5) | | 8(x-6)=80 | | 20x+7y=3600 | | 3(x+4)+8x=3(5+3x)+5 | | 4x-3+x+90=180 | | 4n-19=13 | | -3z+9(z+2)-4=18 | | 5x-18+x+90=180 | | 2x^2+28x=30 | | =302x^2+28x | | x+9+x+9+x+x=302 | | -5j=-45 | | 2(p+3)+4=4p | | 2(x-2)=2x+14 | | (7x)=(2x+7) | | x+40+x+90=180 | | 2(p+3)4=4p | | 2y-3x=24 | | 55=45 | | 2(x+4)=10(x-4) |