If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (10x + 7)(7x + 3) = 180 Reorder the terms: (7 + 10x)(7x + 3) = 180 Reorder the terms: (7 + 10x)(3 + 7x) = 180 Multiply (7 + 10x) * (3 + 7x) (7(3 + 7x) + 10x * (3 + 7x)) = 180 ((3 * 7 + 7x * 7) + 10x * (3 + 7x)) = 180 ((21 + 49x) + 10x * (3 + 7x)) = 180 (21 + 49x + (3 * 10x + 7x * 10x)) = 180 (21 + 49x + (30x + 70x2)) = 180 Combine like terms: 49x + 30x = 79x (21 + 79x + 70x2) = 180 Solving 21 + 79x + 70x2 = 180 Solving for variable 'x'. Reorder the terms: 21 + -180 + 79x + 70x2 = 180 + -180 Combine like terms: 21 + -180 = -159 -159 + 79x + 70x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -159 + 79x + 70x2 = 0 Begin completing the square. Divide all terms by 70 the coefficient of the squared term: Divide each side by '70'. -2.271428571 + 1.128571429x + x2 = 0.0 Move the constant term to the right: Add '2.271428571' to each side of the equation. -2.271428571 + 1.128571429x + 2.271428571 + x2 = 0.0 + 2.271428571 Reorder the terms: -2.271428571 + 2.271428571 + 1.128571429x + x2 = 0.0 + 2.271428571 Combine like terms: -2.271428571 + 2.271428571 = 0.000000000 0.000000000 + 1.128571429x + x2 = 0.0 + 2.271428571 1.128571429x + x2 = 0.0 + 2.271428571 Combine like terms: 0.0 + 2.271428571 = 2.271428571 1.128571429x + x2 = 2.271428571 The x term is 1.128571429x. Take half its coefficient (0.5642857145). Square it (0.3184183676) and add it to both sides. Add '0.3184183676' to each side of the equation. 1.128571429x + 0.3184183676 + x2 = 2.271428571 + 0.3184183676 Reorder the terms: 0.3184183676 + 1.128571429x + x2 = 2.271428571 + 0.3184183676 Combine like terms: 2.271428571 + 0.3184183676 = 2.5898469386 0.3184183676 + 1.128571429x + x2 = 2.5898469386 Factor a perfect square on the left side: (x + 0.5642857145)(x + 0.5642857145) = 2.5898469386 Calculate the square root of the right side: 1.609300139 Break this problem into two subproblems by setting (x + 0.5642857145) equal to 1.609300139 and -1.609300139.Subproblem 1
x + 0.5642857145 = 1.609300139 Simplifying x + 0.5642857145 = 1.609300139 Reorder the terms: 0.5642857145 + x = 1.609300139 Solving 0.5642857145 + x = 1.609300139 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5642857145' to each side of the equation. 0.5642857145 + -0.5642857145 + x = 1.609300139 + -0.5642857145 Combine like terms: 0.5642857145 + -0.5642857145 = 0.0000000000 0.0000000000 + x = 1.609300139 + -0.5642857145 x = 1.609300139 + -0.5642857145 Combine like terms: 1.609300139 + -0.5642857145 = 1.0450144245 x = 1.0450144245 Simplifying x = 1.0450144245Subproblem 2
x + 0.5642857145 = -1.609300139 Simplifying x + 0.5642857145 = -1.609300139 Reorder the terms: 0.5642857145 + x = -1.609300139 Solving 0.5642857145 + x = -1.609300139 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5642857145' to each side of the equation. 0.5642857145 + -0.5642857145 + x = -1.609300139 + -0.5642857145 Combine like terms: 0.5642857145 + -0.5642857145 = 0.0000000000 0.0000000000 + x = -1.609300139 + -0.5642857145 x = -1.609300139 + -0.5642857145 Combine like terms: -1.609300139 + -0.5642857145 = -2.1735858535 x = -2.1735858535 Simplifying x = -2.1735858535Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.0450144245, -2.1735858535}
| 6x^2-7x=4 | | 4y-(4-y)=-20 | | 9-p=2p | | 4(5a-8)+2=12a+6 | | 1/7x-6=3/7x+4 | | 50-10P=20+10P | | 8x+6=110 | | x^2-8x+16=26 | | -7x+7(4x-14)=112 | | 18t^2-48t-32=0 | | 8(x-15)=-4(x+8) | | 8x+3=-7+5x+25 | | 10+4x-3x=22 | | -v+5+6v=1+5v+8 | | 3w+11=-2 | | 60000-500P=20000 | | -5(7x-8)=-30 | | Y+-7y+6=30 | | 8x+y-9x+3z+2x-7y+z= | | 0.90x+0.10x= | | y-7y=-2+8 | | -5(n+1)+7n=-3(3n-2) | | 0.90x+0.10= | | 60000-5P=500P | | 11h+16=70 | | log(5)*(x+1)+log(5)*(2x+1)=4 | | 100+25x=35x+75 | | 3(6x+4)=-96 | | -2y-6=-2x | | 8y=-5 | | 3(3x+4)-2=2(2x+5)-x | | 9-6x=-45 |