If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 5)(3x + -1) = 24 Reorder the terms: (5 + 2x)(3x + -1) = 24 Reorder the terms: (5 + 2x)(-1 + 3x) = 24 Multiply (5 + 2x) * (-1 + 3x) (5(-1 + 3x) + 2x * (-1 + 3x)) = 24 ((-1 * 5 + 3x * 5) + 2x * (-1 + 3x)) = 24 ((-5 + 15x) + 2x * (-1 + 3x)) = 24 (-5 + 15x + (-1 * 2x + 3x * 2x)) = 24 (-5 + 15x + (-2x + 6x2)) = 24 Combine like terms: 15x + -2x = 13x (-5 + 13x + 6x2) = 24 Solving -5 + 13x + 6x2 = 24 Solving for variable 'x'. Reorder the terms: -5 + -24 + 13x + 6x2 = 24 + -24 Combine like terms: -5 + -24 = -29 -29 + 13x + 6x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -29 + 13x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -4.833333333 + 2.166666667x + x2 = 0 Move the constant term to the right: Add '4.833333333' to each side of the equation. -4.833333333 + 2.166666667x + 4.833333333 + x2 = 0 + 4.833333333 Reorder the terms: -4.833333333 + 4.833333333 + 2.166666667x + x2 = 0 + 4.833333333 Combine like terms: -4.833333333 + 4.833333333 = 0.000000000 0.000000000 + 2.166666667x + x2 = 0 + 4.833333333 2.166666667x + x2 = 0 + 4.833333333 Combine like terms: 0 + 4.833333333 = 4.833333333 2.166666667x + x2 = 4.833333333 The x term is 2.166666667x. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667x + 1.173611113 + x2 = 4.833333333 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667x + x2 = 4.833333333 + 1.173611113 Combine like terms: 4.833333333 + 1.173611113 = 6.006944446 1.173611113 + 2.166666667x + x2 = 6.006944446 Factor a perfect square on the left side: (x + 1.083333334)(x + 1.083333334) = 6.006944446 Calculate the square root of the right side: 2.450906862 Break this problem into two subproblems by setting (x + 1.083333334) equal to 2.450906862 and -2.450906862.Subproblem 1
x + 1.083333334 = 2.450906862 Simplifying x + 1.083333334 = 2.450906862 Reorder the terms: 1.083333334 + x = 2.450906862 Solving 1.083333334 + x = 2.450906862 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.083333334' to each side of the equation. 1.083333334 + -1.083333334 + x = 2.450906862 + -1.083333334 Combine like terms: 1.083333334 + -1.083333334 = 0.000000000 0.000000000 + x = 2.450906862 + -1.083333334 x = 2.450906862 + -1.083333334 Combine like terms: 2.450906862 + -1.083333334 = 1.367573528 x = 1.367573528 Simplifying x = 1.367573528Subproblem 2
x + 1.083333334 = -2.450906862 Simplifying x + 1.083333334 = -2.450906862 Reorder the terms: 1.083333334 + x = -2.450906862 Solving 1.083333334 + x = -2.450906862 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.083333334' to each side of the equation. 1.083333334 + -1.083333334 + x = -2.450906862 + -1.083333334 Combine like terms: 1.083333334 + -1.083333334 = 0.000000000 0.000000000 + x = -2.450906862 + -1.083333334 x = -2.450906862 + -1.083333334 Combine like terms: -2.450906862 + -1.083333334 = -3.534240196 x = -3.534240196 Simplifying x = -3.534240196Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.367573528, -3.534240196}
| 7b+4=25 | | t^2+23t+132=0 | | -5y=40 | | 3(2x-1)-2(3x+4)=11x | | 2*x^2-30=4 | | -2m=5m+13 | | 9w+33=12w-27 | | (-1-3i)(2+2i)(1-2i)= | | 2-d=4 | | 3v-5=2v+10 | | 2x+6x-6=56 | | .5x-3=7 | | -2(7-y)+4=-7 | | (y-9)-(y-4)=8y | | 3(x-1)=4x+2 | | 6k-7=5 | | 7-3y=-14 | | 3*17=x | | 5.2(35.73)=4.68(x) | | 6x^2-47x+82=0 | | 6-t/4=8+t/2 | | 5-a=7 | | 4z=22 | | 2.5(x-3)+1.7x=10.8(x+15) | | 4t+10=2 | | 6(1-x)=7(1+2x)+7 | | 4-1x+2x=1 | | (6-d)(d^2-2d+3)= | | 3+2(x-3)=15x-10x-3 | | 9.1x+5=8.1x | | 7(-1-6x)=-2(21x+15) | | 3=-3x+7x+7 |