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Simplifying
1.2 + 2.9x * x = x + -1x + 76.7
Multiply x * x
1.2 + 2.9x2 = x + -1x + 76.7
Reorder the terms:
1.2 + 2.9x2 = 76.7 + x + -1x
Combine like terms: x + -1x = 0
1.2 + 2.9x2 = 76.7 + 0
1.2 + 2.9x2 = 76.7
Solving
1.2 + 2.9x2 = 76.7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 2.9x2 = 76.7 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 2.9x2 = 76.7 + -1.2
2.9x2 = 76.7 + -1.2
Combine like terms: 76.7 + -1.2 = 75.5
2.9x2 = 75.5
Divide each side by '2.9'.
x2 = 26.03448276
Simplifying
x2 = 26.03448276
Take the square root of each side:
x = {-5.102399706, 5.102399706}
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