(9x^2-42x+49)-5(2x+1)(x-2)=-x^2-[-(3x+1)]

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Solution for (9x^2-42x+49)-5(2x+1)(x-2)=-x^2-[-(3x+1)] equation: 


Simplifying
(9x2 + -42x + 49) + -5(2x + 1)(x + -2) = -1x2 + -1[-1(3x + 1)]

Reorder the terms:
(49 + -42x + 9x2) + -5(2x + 1)(x + -2) = -1x2 + -1[-1(3x + 1)]

Remove parenthesis around (49 + -42x + 9x2)
49 + -42x + 9x2 + -5(2x + 1)(x + -2) = -1x2 + -1[-1(3x + 1)]

Reorder the terms:
49 + -42x + 9x2 + -5(1 + 2x)(x + -2) = -1x2 + -1[-1(3x + 1)]

Reorder the terms:
49 + -42x + 9x2 + -5(1 + 2x)(-2 + x) = -1x2 + -1[-1(3x + 1)]

Multiply (1 + 2x) * (-2 + x)
49 + -42x + 9x2 + -5(1(-2 + x) + 2x * (-2 + x)) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + -5((-2 * 1 + x * 1) + 2x * (-2 + x)) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + -5((-2 + 1x) + 2x * (-2 + x)) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + -5(-2 + 1x + (-2 * 2x + x * 2x)) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + -5(-2 + 1x + (-4x + 2x2)) = -1x2 + -1[-1(3x + 1)]

Combine like terms: 1x + -4x = -3x
49 + -42x + 9x2 + -5(-2 + -3x + 2x2) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + (-2 * -5 + -3x * -5 + 2x2 * -5) = -1x2 + -1[-1(3x + 1)]
49 + -42x + 9x2 + (10 + 15x + -10x2) = -1x2 + -1[-1(3x + 1)]

Reorder the terms:
49 + 10 + -42x + 15x + 9x2 + -10x2 = -1x2 + -1[-1(3x + 1)]

Combine like terms: 49 + 10 = 59
59 + -42x + 15x + 9x2 + -10x2 = -1x2 + -1[-1(3x + 1)]

Combine like terms: -42x + 15x = -27x
59 + -27x + 9x2 + -10x2 = -1x2 + -1[-1(3x + 1)]

Combine like terms: 9x2 + -10x2 = -1x2
59 + -27x + -1x2 = -1x2 + -1[-1(3x + 1)]

Reorder the terms:
59 + -27x + -1x2 = -1x2 + -1[-1(1 + 3x)]
59 + -27x + -1x2 = -1x2 + -1[(1 * -1 + 3x * -1)]
59 + -27x + -1x2 = -1x2 + -1[(-1 + -3x)]
59 + -27x + -1x2 = -1x2 + [-1 * -1 + -3x * -1]
59 + -27x + -1x2 = -1x2 + [1 + 3x]

Reorder the terms:
59 + -27x + -1x2 = 1 + 3x + -1x2

Add 'x2' to each side of the equation.
59 + -27x + -1x2 + x2 = 1 + 3x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
59 + -27x + 0 = 1 + 3x + -1x2 + x2
59 + -27x = 1 + 3x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
59 + -27x = 1 + 3x + 0
59 + -27x = 1 + 3x

Solving
59 + -27x = 1 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
59 + -27x + -3x = 1 + 3x + -3x

Combine like terms: -27x + -3x = -30x
59 + -30x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
59 + -30x = 1 + 0
59 + -30x = 1

Add '-59' to each side of the equation.
59 + -59 + -30x = 1 + -59

Combine like terms: 59 + -59 = 0
0 + -30x = 1 + -59
-30x = 1 + -59

Combine like terms: 1 + -59 = -58
-30x = -58

Divide each side by '-30'.
x = 1.933333333

Simplifying
x = 1.933333333

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