If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + 4)(5x + -22) = 180 Reorder the terms: (4 + 4x)(5x + -22) = 180 Reorder the terms: (4 + 4x)(-22 + 5x) = 180 Multiply (4 + 4x) * (-22 + 5x) (4(-22 + 5x) + 4x * (-22 + 5x)) = 180 ((-22 * 4 + 5x * 4) + 4x * (-22 + 5x)) = 180 ((-88 + 20x) + 4x * (-22 + 5x)) = 180 (-88 + 20x + (-22 * 4x + 5x * 4x)) = 180 (-88 + 20x + (-88x + 20x2)) = 180 Combine like terms: 20x + -88x = -68x (-88 + -68x + 20x2) = 180 Solving -88 + -68x + 20x2 = 180 Solving for variable 'x'. Reorder the terms: -88 + -180 + -68x + 20x2 = 180 + -180 Combine like terms: -88 + -180 = -268 -268 + -68x + 20x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -268 + -68x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-67 + -17x + 5x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-67 + -17x + 5x2)' equal to zero and attempt to solve: Simplifying -67 + -17x + 5x2 = 0 Solving -67 + -17x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -13.4 + -3.4x + x2 = 0 Move the constant term to the right: Add '13.4' to each side of the equation. -13.4 + -3.4x + 13.4 + x2 = 0 + 13.4 Reorder the terms: -13.4 + 13.4 + -3.4x + x2 = 0 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + -3.4x + x2 = 0 + 13.4 -3.4x + x2 = 0 + 13.4 Combine like terms: 0 + 13.4 = 13.4 -3.4x + x2 = 13.4 The x term is -3.4x. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4x + 2.89 + x2 = 13.4 + 2.89 Reorder the terms: 2.89 + -3.4x + x2 = 13.4 + 2.89 Combine like terms: 13.4 + 2.89 = 16.29 2.89 + -3.4x + x2 = 16.29 Factor a perfect square on the left side: (x + -1.7)(x + -1.7) = 16.29 Calculate the square root of the right side: 4.036087214 Break this problem into two subproblems by setting (x + -1.7) equal to 4.036087214 and -4.036087214.Subproblem 1
x + -1.7 = 4.036087214 Simplifying x + -1.7 = 4.036087214 Reorder the terms: -1.7 + x = 4.036087214 Solving -1.7 + x = 4.036087214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + x = 4.036087214 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + x = 4.036087214 + 1.7 x = 4.036087214 + 1.7 Combine like terms: 4.036087214 + 1.7 = 5.736087214 x = 5.736087214 Simplifying x = 5.736087214Subproblem 2
x + -1.7 = -4.036087214 Simplifying x + -1.7 = -4.036087214 Reorder the terms: -1.7 + x = -4.036087214 Solving -1.7 + x = -4.036087214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + x = -4.036087214 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + x = -4.036087214 + 1.7 x = -4.036087214 + 1.7 Combine like terms: -4.036087214 + 1.7 = -2.336087214 x = -2.336087214 Simplifying x = -2.336087214Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.736087214, -2.336087214}Solution
x = {5.736087214, -2.336087214}
| 136=8(1+2n) | | 6x-8-2k=6x-7 | | -3w^2+11w+4=0 | | 3x(6)-3(7.5x-2)+4=21x | | -2(p-7)=50 | | 9+14x-12-10x= | | -8x-3=-4 | | X=5.4+.7 | | 9x+5=9x-3 | | a^2-a-33=-3 | | 5-3(2x+1)+7(x+x-2)= | | 6p+2x+3p-3x-5= | | x+(x-6)+((x-6)*3)=71 | | 0.11x+0.7(x-3)=0.01(5x-4) | | graphf(x)=5x+1 | | -(8N+2)-5=-16+n | | b^2+2b-52=-4 | | 36x^2+57x+15=0 | | 0.006(6-k)+0.07(k-8)=1 | | 25x-20x=5x | | 25x+5=5(6x+5) | | a+1=a-1 | | 6(-6r-4)+4=-236 | | 2[5y+3(2y-6)]= | | -0.11p-0.05(6-3p)=0.02(p-5)-0.02 | | f(x)=5x+1graph | | b^2-b-34=8 | | -onehalfx-7=-11 | | 3y^2+34y-24=0 | | 144+16+2(4)= | | xw+w=9 | | (8x+4)=14 |