If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + 5)(x + -10) = 10 Reorder the terms: (5 + 3x)(x + -10) = 10 Reorder the terms: (5 + 3x)(-10 + x) = 10 Multiply (5 + 3x) * (-10 + x) (5(-10 + x) + 3x * (-10 + x)) = 10 ((-10 * 5 + x * 5) + 3x * (-10 + x)) = 10 ((-50 + 5x) + 3x * (-10 + x)) = 10 (-50 + 5x + (-10 * 3x + x * 3x)) = 10 (-50 + 5x + (-30x + 3x2)) = 10 Combine like terms: 5x + -30x = -25x (-50 + -25x + 3x2) = 10 Solving -50 + -25x + 3x2 = 10 Solving for variable 'x'. Reorder the terms: -50 + -10 + -25x + 3x2 = 10 + -10 Combine like terms: -50 + -10 = -60 -60 + -25x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -60 + -25x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -20 + -8.333333333x + x2 = 0 Move the constant term to the right: Add '20' to each side of the equation. -20 + -8.333333333x + 20 + x2 = 0 + 20 Reorder the terms: -20 + 20 + -8.333333333x + x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -8.333333333x + x2 = 0 + 20 -8.333333333x + x2 = 0 + 20 Combine like terms: 0 + 20 = 20 -8.333333333x + x2 = 20 The x term is -8.333333333x. Take half its coefficient (-4.166666667). Square it (17.36111111) and add it to both sides. Add '17.36111111' to each side of the equation. -8.333333333x + 17.36111111 + x2 = 20 + 17.36111111 Reorder the terms: 17.36111111 + -8.333333333x + x2 = 20 + 17.36111111 Combine like terms: 20 + 17.36111111 = 37.36111111 17.36111111 + -8.333333333x + x2 = 37.36111111 Factor a perfect square on the left side: (x + -4.166666667)(x + -4.166666667) = 37.36111111 Calculate the square root of the right side: 6.112373607 Break this problem into two subproblems by setting (x + -4.166666667) equal to 6.112373607 and -6.112373607.Subproblem 1
x + -4.166666667 = 6.112373607 Simplifying x + -4.166666667 = 6.112373607 Reorder the terms: -4.166666667 + x = 6.112373607 Solving -4.166666667 + x = 6.112373607 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.166666667' to each side of the equation. -4.166666667 + 4.166666667 + x = 6.112373607 + 4.166666667 Combine like terms: -4.166666667 + 4.166666667 = 0.000000000 0.000000000 + x = 6.112373607 + 4.166666667 x = 6.112373607 + 4.166666667 Combine like terms: 6.112373607 + 4.166666667 = 10.279040274 x = 10.279040274 Simplifying x = 10.279040274Subproblem 2
x + -4.166666667 = -6.112373607 Simplifying x + -4.166666667 = -6.112373607 Reorder the terms: -4.166666667 + x = -6.112373607 Solving -4.166666667 + x = -6.112373607 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.166666667' to each side of the equation. -4.166666667 + 4.166666667 + x = -6.112373607 + 4.166666667 Combine like terms: -4.166666667 + 4.166666667 = 0.000000000 0.000000000 + x = -6.112373607 + 4.166666667 x = -6.112373607 + 4.166666667 Combine like terms: -6.112373607 + 4.166666667 = -1.94570694 x = -1.94570694 Simplifying x = -1.94570694Solution
The solution to the problem is based on the solutions from the subproblems. x = {10.279040274, -1.94570694}
| 12x^2+56x-143=0 | | 12x^2-56x-143=0 | | 3+[4-3]+4= | | 90x^2-79x-22=0 | | 55=7x-2x | | 16-3*3+16= | | (3x-4)-(4x+10)=90 | | -35-13x+4x^2=0 | | 300=1200(x+1)/24 | | m+2/3=7/15 | | 3a=5y-16 | | (x+3)(x-8)(5x-4)=0 | | 2a+6=55 | | 9k-4=10 | | 3w-13=26 | | c*c+c-0.24=0 | | .01x+1.2=3.2 | | -x=y-5 | | 9-x=-9 | | -3x-16=34+2x | | c*c=0.24-c | | 8.3x=6/5 | | 16(2x-3)=(8x+6) | | (9-x)+(2x+5)= | | (8y+3)-(7y-7)=-4 | | (2x+5)=5 | | (x-5)-7=x | | -(x+5)-7=x | | 12cos^2x+cosx-13=12cos^2x-cosx+13cosx-13 | | 12cos^2x+cosx-13=12cos^2x-cosx-13cosx-13 | | -4(2x-8)=-16 | | 7(6y-8)-(7y+6)= |