If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (20 + 2x)(15 + 2x) = 714 Multiply (20 + 2x) * (15 + 2x) (20(15 + 2x) + 2x * (15 + 2x)) = 714 ((15 * 20 + 2x * 20) + 2x * (15 + 2x)) = 714 ((300 + 40x) + 2x * (15 + 2x)) = 714 (300 + 40x + (15 * 2x + 2x * 2x)) = 714 (300 + 40x + (30x + 4x2)) = 714 Combine like terms: 40x + 30x = 70x (300 + 70x + 4x2) = 714 Solving 300 + 70x + 4x2 = 714 Solving for variable 'x'. Reorder the terms: 300 + -714 + 70x + 4x2 = 714 + -714 Combine like terms: 300 + -714 = -414 -414 + 70x + 4x2 = 714 + -714 Combine like terms: 714 + -714 = 0 -414 + 70x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-207 + 35x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-207 + 35x + 2x2)' equal to zero and attempt to solve: Simplifying -207 + 35x + 2x2 = 0 Solving -207 + 35x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -103.5 + 17.5x + x2 = 0 Move the constant term to the right: Add '103.5' to each side of the equation. -103.5 + 17.5x + 103.5 + x2 = 0 + 103.5 Reorder the terms: -103.5 + 103.5 + 17.5x + x2 = 0 + 103.5 Combine like terms: -103.5 + 103.5 = 0.0 0.0 + 17.5x + x2 = 0 + 103.5 17.5x + x2 = 0 + 103.5 Combine like terms: 0 + 103.5 = 103.5 17.5x + x2 = 103.5 The x term is 17.5x. Take half its coefficient (8.75). Square it (76.5625) and add it to both sides. Add '76.5625' to each side of the equation. 17.5x + 76.5625 + x2 = 103.5 + 76.5625 Reorder the terms: 76.5625 + 17.5x + x2 = 103.5 + 76.5625 Combine like terms: 103.5 + 76.5625 = 180.0625 76.5625 + 17.5x + x2 = 180.0625 Factor a perfect square on the left side: (x + 8.75)(x + 8.75) = 180.0625 Calculate the square root of the right side: 13.4187369 Break this problem into two subproblems by setting (x + 8.75) equal to 13.4187369 and -13.4187369.Subproblem 1
x + 8.75 = 13.4187369 Simplifying x + 8.75 = 13.4187369 Reorder the terms: 8.75 + x = 13.4187369 Solving 8.75 + x = 13.4187369 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + -8.75 + x = 13.4187369 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + x = 13.4187369 + -8.75 x = 13.4187369 + -8.75 Combine like terms: 13.4187369 + -8.75 = 4.6687369 x = 4.6687369 Simplifying x = 4.6687369Subproblem 2
x + 8.75 = -13.4187369 Simplifying x + 8.75 = -13.4187369 Reorder the terms: 8.75 + x = -13.4187369 Solving 8.75 + x = -13.4187369 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + -8.75 + x = -13.4187369 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + x = -13.4187369 + -8.75 x = -13.4187369 + -8.75 Combine like terms: -13.4187369 + -8.75 = -22.1687369 x = -22.1687369 Simplifying x = -22.1687369Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.6687369, -22.1687369}Solution
x = {4.6687369, -22.1687369}
| 3x+12-4=2X+8+X | | 5+10=92 | | 9x+2x-4x=24+4 | | (7x+13)=27 | | -33=x-45 | | 26-3x=3x | | 0.66666667+n+6=0.75 | | 712=x+3x-35+x+32 | | -x-13=-(6x+7)+6x | | 1/2x+5=-5 | | 13(t-5)+5t=6(3t+2)-9 | | 1.00/10.00(300.00-x)=25.00 | | 4x^2+70x=414 | | 2x-17=-21 | | -3.7f+4.9=6.3 | | 4x^6-3x^5+14x^4= | | (x^2)-(2(a+1)x)+3a+2=0 | | -7+4-3w=15 | | 175=(2t+7)(2t+5) | | 3/4+1/3x=2/x-5/12 | | 4.7q-4.9-4.3q=-0.6q-1.7 | | -4/11=5x | | 4-x=3x+4 | | 27+-9k=-8k | | 9x^2+17=107 | | (2(1-x)+(4x-5))/(3(5+2x)-4(x-1))=1 | | 27a^3b^3+8=0 | | 5x-4=3x^2-18x | | 7/5x-3/8=4x-7/10 | | 4=(2/5)g | | 0.7x-0.3(x-4)=0.4(x-3) | | (m-2)/4=-2 |