If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3x2 + 8x + 96 = 0 Reorder the terms: 96 + 8x + -3x2 = 0 Solving 96 + 8x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -32 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '32' to each side of the equation. -32 + -2.666666667x + 32 + x2 = 0 + 32 Reorder the terms: -32 + 32 + -2.666666667x + x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -2.666666667x + x2 = 0 + 32 -2.666666667x + x2 = 0 + 32 Combine like terms: 0 + 32 = 32 -2.666666667x + x2 = 32 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = 32 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = 32 + 1.777777780 Combine like terms: 32 + 1.777777780 = 33.77777778 1.777777780 + -2.666666667x + x2 = 33.77777778 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = 33.77777778 Calculate the square root of the right side: 5.811865258 Break this problem into two subproblems by setting (x + -1.333333334) equal to 5.811865258 and -5.811865258.Subproblem 1
x + -1.333333334 = 5.811865258 Simplifying x + -1.333333334 = 5.811865258 Reorder the terms: -1.333333334 + x = 5.811865258 Solving -1.333333334 + x = 5.811865258 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = 5.811865258 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = 5.811865258 + 1.333333334 x = 5.811865258 + 1.333333334 Combine like terms: 5.811865258 + 1.333333334 = 7.145198592 x = 7.145198592 Simplifying x = 7.145198592Subproblem 2
x + -1.333333334 = -5.811865258 Simplifying x + -1.333333334 = -5.811865258 Reorder the terms: -1.333333334 + x = -5.811865258 Solving -1.333333334 + x = -5.811865258 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = -5.811865258 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = -5.811865258 + 1.333333334 x = -5.811865258 + 1.333333334 Combine like terms: -5.811865258 + 1.333333334 = -4.478531924 x = -4.478531924 Simplifying x = -4.478531924Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.145198592, -4.478531924}
| -67+7x=17+x | | -5+19=14 | | 52+4x=2(x-11) | | 8-2c=14 | | k^2+6k-7=0 | | -5(4x-2)-4x=-19+5x | | -217=11x-52 | | 0.032=w(1-0.59w) | | -96=-6(2n+6) | | -39v-18=25v-18(1-26v) | | (3x+3)(2x^2+5x-2)= | | -39v-18=125v-18(1-26v) | | -22=8x-13 | | -343=-5(-5-8a)+6a | | 3x^2+77x=0 | | t-32.8=-27.0 | | 2x^2y=5 | | 30+30= | | 2/3*x-23=2 | | 90+36+y=180 | | 688-456= | | -4=2t-3 | | 12x-25=59 | | 5x+2=452 | | 5w^2=-w+4 | | f(x)=-2x^2-3 | | x-6=-3x+14 | | 3u^2+2=-5u | | 5762-2144= | | 32x=20y | | 4x-3(x+4)=1-4(3x-2) | | 4w^2+20w-25=0 |