If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (7x + 3)(4x + 1) = 65 Reorder the terms: (3 + 7x)(4x + 1) = 65 Reorder the terms: (3 + 7x)(1 + 4x) = 65 Multiply (3 + 7x) * (1 + 4x) (3(1 + 4x) + 7x * (1 + 4x)) = 65 ((1 * 3 + 4x * 3) + 7x * (1 + 4x)) = 65 ((3 + 12x) + 7x * (1 + 4x)) = 65 (3 + 12x + (1 * 7x + 4x * 7x)) = 65 (3 + 12x + (7x + 28x2)) = 65 Combine like terms: 12x + 7x = 19x (3 + 19x + 28x2) = 65 Solving 3 + 19x + 28x2 = 65 Solving for variable 'x'. Reorder the terms: 3 + -65 + 19x + 28x2 = 65 + -65 Combine like terms: 3 + -65 = -62 -62 + 19x + 28x2 = 65 + -65 Combine like terms: 65 + -65 = 0 -62 + 19x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. -2.214285714 + 0.6785714286x + x2 = 0 Move the constant term to the right: Add '2.214285714' to each side of the equation. -2.214285714 + 0.6785714286x + 2.214285714 + x2 = 0 + 2.214285714 Reorder the terms: -2.214285714 + 2.214285714 + 0.6785714286x + x2 = 0 + 2.214285714 Combine like terms: -2.214285714 + 2.214285714 = 0.000000000 0.000000000 + 0.6785714286x + x2 = 0 + 2.214285714 0.6785714286x + x2 = 0 + 2.214285714 Combine like terms: 0 + 2.214285714 = 2.214285714 0.6785714286x + x2 = 2.214285714 The x term is 0.6785714286x. Take half its coefficient (0.3392857143). Square it (0.1151147959) and add it to both sides. Add '0.1151147959' to each side of the equation. 0.6785714286x + 0.1151147959 + x2 = 2.214285714 + 0.1151147959 Reorder the terms: 0.1151147959 + 0.6785714286x + x2 = 2.214285714 + 0.1151147959 Combine like terms: 2.214285714 + 0.1151147959 = 2.3294005099 0.1151147959 + 0.6785714286x + x2 = 2.3294005099 Factor a perfect square on the left side: (x + 0.3392857143)(x + 0.3392857143) = 2.3294005099 Calculate the square root of the right side: 1.52623737 Break this problem into two subproblems by setting (x + 0.3392857143) equal to 1.52623737 and -1.52623737.Subproblem 1
x + 0.3392857143 = 1.52623737 Simplifying x + 0.3392857143 = 1.52623737 Reorder the terms: 0.3392857143 + x = 1.52623737 Solving 0.3392857143 + x = 1.52623737 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3392857143' to each side of the equation. 0.3392857143 + -0.3392857143 + x = 1.52623737 + -0.3392857143 Combine like terms: 0.3392857143 + -0.3392857143 = 0.0000000000 0.0000000000 + x = 1.52623737 + -0.3392857143 x = 1.52623737 + -0.3392857143 Combine like terms: 1.52623737 + -0.3392857143 = 1.1869516557 x = 1.1869516557 Simplifying x = 1.1869516557Subproblem 2
x + 0.3392857143 = -1.52623737 Simplifying x + 0.3392857143 = -1.52623737 Reorder the terms: 0.3392857143 + x = -1.52623737 Solving 0.3392857143 + x = -1.52623737 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3392857143' to each side of the equation. 0.3392857143 + -0.3392857143 + x = -1.52623737 + -0.3392857143 Combine like terms: 0.3392857143 + -0.3392857143 = 0.0000000000 0.0000000000 + x = -1.52623737 + -0.3392857143 x = -1.52623737 + -0.3392857143 Combine like terms: -1.52623737 + -0.3392857143 = -1.8655230843 x = -1.8655230843 Simplifying x = -1.8655230843Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.1869516557, -1.8655230843}
| -5t^2-6t+61=0 | | 6v-10=2(3v-5) | | 44(2y+1)=2(12-y) | | n=-11+27 | | 6x-2=-4x-1 | | =6xln(7x)-6x | | -17=-3y+10 | | 4x-2+10-2x=-60 | | 4y+3=-2y | | 11+y=89 | | 4s-17=43 | | 7+6x= | | 3x^3-27x^2+54x=0 | | 3(2x-3)=8(x-3)-3 | | 5i/(8-9i)=0 | | -5s-13=19 | | z^3-3z^2+z+3=0 | | 14+x=-(6-3x)+4 | | -1=5-3v | | 2(x^2-10x+12)=0 | | 7v-4=3 | | 8h-19=16 | | 85-19=16 | | 10a^2+39=9a^2+48 | | 4(2y+3)=4y+24 | | 17(A+3)=4(A-10)+13 | | dy/dx=4-y | | 284=-u+110 | | 2(x+1)-3(2x+2)=100 | | 3w-3x-y+5w+17x-5y= | | -2m^2-4m=2 | | 10x=4,80-0,30 |