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Simplifying 3x2 + -8x = 30 + x Reorder the terms: -8x + 3x2 = 30 + x Solving -8x + 3x2 = 30 + x Solving for variable 'x'. Reorder the terms: -30 + -8x + -1x + 3x2 = 30 + x + -30 + -1x Combine like terms: -8x + -1x = -9x -30 + -9x + 3x2 = 30 + x + -30 + -1x Reorder the terms: -30 + -9x + 3x2 = 30 + -30 + x + -1x Combine like terms: 30 + -30 = 0 -30 + -9x + 3x2 = 0 + x + -1x -30 + -9x + 3x2 = x + -1x Combine like terms: x + -1x = 0 -30 + -9x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + -3x + x2) = 0 Factor a trinomial. 3((-2 + -1x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-2, 5}
| 8•(5/8) | | 20/12=x/8 | | 3x-27+4x+12=32 | | 8•5/8x | | 2(11x+17)=12x+4 | | y=e^2x*2*e^2x | | X+.05x=4466 | | -60-9x=66 | | 8n=4n+88 | | y=2x*x^2 | | 60+44x=96+32 | | 60+44x=32x | | .4x-0.2=(-2.5) | | 6x-9=18+3x | | .04-0.2=-2.5 | | 5x+-10+4x+12=90 | | 14x^3+4x^2+18x= | | 5x+-10+4x+12=180 | | s/√2n | | a/5=7/5 | | 2y-15=-69+8 | | 5.4x+3=4.4x | | 8(x-3)-(7x-5)=5 | | 25+7h=81 | | (x/4)-5=1 | | 6(x+4)+2=6x+2 | | B^2=121 | | 4(t-6)+4t=4(2t+4)-8 | | (2-I)X+(3I-7)Y+2=0 | | 9+2x-6=9x+7-5x | | K+7K=-12 | | 7.5x=6.67 |