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Simplifying 7x2 + 11y2 + -19z2 = 0 Solving 7x2 + 11y2 + -19z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y2' to each side of the equation. 7x2 + 11y2 + -11y2 + -19z2 = 0 + -11y2 Combine like terms: 11y2 + -11y2 = 0 7x2 + 0 + -19z2 = 0 + -11y2 7x2 + -19z2 = 0 + -11y2 Remove the zero: 7x2 + -19z2 = -11y2 Add '19z2' to each side of the equation. 7x2 + -19z2 + 19z2 = -11y2 + 19z2 Combine like terms: -19z2 + 19z2 = 0 7x2 + 0 = -11y2 + 19z2 7x2 = -11y2 + 19z2 Divide each side by '7'. x2 = -1.571428571y2 + 2.714285714z2 Simplifying x2 = -1.571428571y2 + 2.714285714z2 Reorder the terms: x2 + 1.571428571y2 + -2.714285714z2 = -1.571428571y2 + 1.571428571y2 + 2.714285714z2 + -2.714285714z2 Combine like terms: -1.571428571y2 + 1.571428571y2 = 0.000000000 x2 + 1.571428571y2 + -2.714285714z2 = 0.000000000 + 2.714285714z2 + -2.714285714z2 x2 + 1.571428571y2 + -2.714285714z2 = 2.714285714z2 + -2.714285714z2 Combine like terms: 2.714285714z2 + -2.714285714z2 = 0.000000000 x2 + 1.571428571y2 + -2.714285714z2 = 0.000000000 The solution to this equation could not be determined.
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