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Simplifying
2x2 + 3(46 + -5x2) + -21 = 0
2x2 + (46 * 3 + -5x2 * 3) + -21 = 0
2x2 + (138 + -15x2) + -21 = 0
Reorder the terms:
138 + -21 + 2x2 + -15x2 = 0
Combine like terms: 138 + -21 = 117
117 + 2x2 + -15x2 = 0
Combine like terms: 2x2 + -15x2 = -13x2
117 + -13x2 = 0
Solving
117 + -13x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-117' to each side of the equation.
117 + -117 + -13x2 = 0 + -117
Combine like terms: 117 + -117 = 0
0 + -13x2 = 0 + -117
-13x2 = 0 + -117
Combine like terms: 0 + -117 = -117
-13x2 = -117
Divide each side by '-13'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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