(4x^2+42x+54)-(4x^2+31x+21)=110

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Solution for (4x^2+42x+54)-(4x^2+31x+21)=110 equation:


Simplifying
(4x2 + 42x + 54) + -1(4x2 + 31x + 21) = 110

Reorder the terms:
(54 + 42x + 4x2) + -1(4x2 + 31x + 21) = 110

Remove parenthesis around (54 + 42x + 4x2)
54 + 42x + 4x2 + -1(4x2 + 31x + 21) = 110

Reorder the terms:
54 + 42x + 4x2 + -1(21 + 31x + 4x2) = 110
54 + 42x + 4x2 + (21 * -1 + 31x * -1 + 4x2 * -1) = 110
54 + 42x + 4x2 + (-21 + -31x + -4x2) = 110

Reorder the terms:
54 + -21 + 42x + -31x + 4x2 + -4x2 = 110

Combine like terms: 54 + -21 = 33
33 + 42x + -31x + 4x2 + -4x2 = 110

Combine like terms: 42x + -31x = 11x
33 + 11x + 4x2 + -4x2 = 110

Combine like terms: 4x2 + -4x2 = 0
33 + 11x + 0 = 110
33 + 11x = 110

Solving
33 + 11x = 110

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 11x = 110 + -33

Combine like terms: 33 + -33 = 0
0 + 11x = 110 + -33
11x = 110 + -33

Combine like terms: 110 + -33 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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