If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14x(4 + x) = 100 (4 * 14x + x * 14x) = 100 (56x + 14x2) = 100 Solving 56x + 14x2 = 100 Solving for variable 'x'. Reorder the terms: -100 + 56x + 14x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 56x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50 + 28x + 7x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + 28x + 7x2)' equal to zero and attempt to solve: Simplifying -50 + 28x + 7x2 = 0 Solving -50 + 28x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -7.142857143 + 4x + x2 = 0 Move the constant term to the right: Add '7.142857143' to each side of the equation. -7.142857143 + 4x + 7.142857143 + x2 = 0 + 7.142857143 Reorder the terms: -7.142857143 + 7.142857143 + 4x + x2 = 0 + 7.142857143 Combine like terms: -7.142857143 + 7.142857143 = 0.000000000 0.000000000 + 4x + x2 = 0 + 7.142857143 4x + x2 = 0 + 7.142857143 Combine like terms: 0 + 7.142857143 = 7.142857143 4x + x2 = 7.142857143 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 7.142857143 + 4 Reorder the terms: 4 + 4x + x2 = 7.142857143 + 4 Combine like terms: 7.142857143 + 4 = 11.142857143 4 + 4x + x2 = 11.142857143 Factor a perfect square on the left side: (x + 2)(x + 2) = 11.142857143 Calculate the square root of the right side: 3.338091842 Break this problem into two subproblems by setting (x + 2) equal to 3.338091842 and -3.338091842.Subproblem 1
x + 2 = 3.338091842 Simplifying x + 2 = 3.338091842 Reorder the terms: 2 + x = 3.338091842 Solving 2 + x = 3.338091842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 3.338091842 + -2 Combine like terms: 2 + -2 = 0 0 + x = 3.338091842 + -2 x = 3.338091842 + -2 Combine like terms: 3.338091842 + -2 = 1.338091842 x = 1.338091842 Simplifying x = 1.338091842Subproblem 2
x + 2 = -3.338091842 Simplifying x + 2 = -3.338091842 Reorder the terms: 2 + x = -3.338091842 Solving 2 + x = -3.338091842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -3.338091842 + -2 Combine like terms: 2 + -2 = 0 0 + x = -3.338091842 + -2 x = -3.338091842 + -2 Combine like terms: -3.338091842 + -2 = -5.338091842 x = -5.338091842 Simplifying x = -5.338091842Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.338091842, -5.338091842}Solution
x = {1.338091842, -5.338091842}
| 0=(7-7)/(3-x) | | 5x^4+8x^2+3=0 | | 6p(3x+2y)-(3p+2q)(3x+2y)= | | 0=7-7/3-x | | X^2-144=O | | 2x+15=3(x-3) | | (w-9)*2=12 | | Log27x=-2/3 | | 3x^2-mx+2m=0 | | 3x^2+2y^2+5xy-2y+5x^2-3y^2= | | 600=(21-2x)(34-2x) | | (5z-1)(7-z)=0 | | (m+1)*x^2-(2m+1)*x-2m=0 | | (-94)+66= | | 3x+16=12x-8 | | 1200=-log(x) | | (-2ab-2a-5)-(6ab+2)=0 | | 5t-4=2y+8 | | 55+34= | | 4f+5=21 | | (ab+3a+7)-(-5ab-2)=0 | | x^3+6x^2+12x-19=0 | | (-8ab+7a-5)-(-7ab+2)=0 | | 180=8y-6 | | (3ab-2a-2)-(4ab-4)=0 | | M^2+20m+20=0 | | r-15=12 | | (-9ab-a+9)-(-ab+1)=0 | | (-7ab+7a-1)-(ab+8)=0 | | (-4ab-5a+3)-(-7ab+9)=0 | | 3x^2-33x-84=0 | | (ab+4a-6)-(4ab+2)=0 |