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Simplifying 6x + -5 = 64x2 + -112x + 49 Reorder the terms: -5 + 6x = 64x2 + -112x + 49 Reorder the terms: -5 + 6x = 49 + -112x + 64x2 Solving -5 + 6x = 49 + -112x + 64x2 Solving for variable 'x'. Reorder the terms: -5 + -49 + 6x + 112x + -64x2 = 49 + -112x + 64x2 + -49 + 112x + -64x2 Combine like terms: -5 + -49 = -54 -54 + 6x + 112x + -64x2 = 49 + -112x + 64x2 + -49 + 112x + -64x2 Combine like terms: 6x + 112x = 118x -54 + 118x + -64x2 = 49 + -112x + 64x2 + -49 + 112x + -64x2 Reorder the terms: -54 + 118x + -64x2 = 49 + -49 + -112x + 112x + 64x2 + -64x2 Combine like terms: 49 + -49 = 0 -54 + 118x + -64x2 = 0 + -112x + 112x + 64x2 + -64x2 -54 + 118x + -64x2 = -112x + 112x + 64x2 + -64x2 Combine like terms: -112x + 112x = 0 -54 + 118x + -64x2 = 0 + 64x2 + -64x2 -54 + 118x + -64x2 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -54 + 118x + -64x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 59x + -32x2) = 0 Factor a trinomial. 2((-1 + x)(27 + -32x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
Set the factor '(27 + -32x)' equal to zero and attempt to solve: Simplifying 27 + -32x = 0 Solving 27 + -32x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -32x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -32x = 0 + -27 -32x = 0 + -27 Combine like terms: 0 + -27 = -27 -32x = -27 Divide each side by '-32'. x = 0.84375 Simplifying x = 0.84375Solution
x = {1, 0.84375}
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