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Simplifying
5x2 + x(x + 3) = 2x(x + 4) + -1(5x + -16)
Reorder the terms:
5x2 + x(3 + x) = 2x(x + 4) + -1(5x + -16)
5x2 + (3 * x + x * x) = 2x(x + 4) + -1(5x + -16)
5x2 + (3x + x2) = 2x(x + 4) + -1(5x + -16)
Reorder the terms:
3x + 5x2 + x2 = 2x(x + 4) + -1(5x + -16)
Combine like terms: 5x2 + x2 = 6x2
3x + 6x2 = 2x(x + 4) + -1(5x + -16)
Reorder the terms:
3x + 6x2 = 2x(4 + x) + -1(5x + -16)
3x + 6x2 = (4 * 2x + x * 2x) + -1(5x + -16)
3x + 6x2 = (8x + 2x2) + -1(5x + -16)
Reorder the terms:
3x + 6x2 = 8x + 2x2 + -1(-16 + 5x)
3x + 6x2 = 8x + 2x2 + (-16 * -1 + 5x * -1)
3x + 6x2 = 8x + 2x2 + (16 + -5x)
Reorder the terms:
3x + 6x2 = 16 + 8x + -5x + 2x2
Combine like terms: 8x + -5x = 3x
3x + 6x2 = 16 + 3x + 2x2
Add '-3x' to each side of the equation.
3x + -3x + 6x2 = 16 + 3x + -3x + 2x2
Combine like terms: 3x + -3x = 0
0 + 6x2 = 16 + 3x + -3x + 2x2
6x2 = 16 + 3x + -3x + 2x2
Combine like terms: 3x + -3x = 0
6x2 = 16 + 0 + 2x2
6x2 = 16 + 2x2
Solving
6x2 = 16 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
6x2 + -2x2 = 16 + 2x2 + -2x2
Combine like terms: 6x2 + -2x2 = 4x2
4x2 = 16 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
4x2 = 16 + 0
4x2 = 16
Divide each side by '4'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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